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52023311332025 = 52111953409459317
BaseRepresentation
bin10111101010000100111101…
…11111011111001010111001
320211012101021000101110221112
423311002132333133022321
523304322220200111100
6302351102421050105
713646363103113255
oct1365023677371271
9224171230343845
1052023311332025
1115637a65002730
125a02571856935
132304a146b1227
14cbbd28069265
156033a4448b35
hex2f509efdf2b9

52023311332025 has 96 divisors (see below), whose sum is σ = 75659595868800. Its totient is φ = 35081453721600.

The previous prime is 52023311331839. The next prime is 52023311332043.

52023311332025 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52023311332025 - 28 = 52023311331769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 52023311331982 and 52023311332000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113032667 + ... + 113491983.

It is an arithmetic number, because the mean of its divisors is an integer number (788120790300).

Almost surely, 252023311332025 is an apocalyptic number.

52023311332025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52023311332025 is a deficient number, since it is larger than the sum of its proper divisors (23636284536775).

52023311332025 is a wasteful number, since it uses less digits than its factorization.

52023311332025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459819 (or 459814 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

It can be divided in two parts, 5202331 and 1332025, that added together give a palindrome (6534356).

The spelling of 52023311332025 in words is "fifty-two trillion, twenty-three billion, three hundred eleven million, three hundred thirty-two thousand, twenty-five".

Divisors: 1 5 11 19 25 53 55 95 209 265 275 409 475 583 1007 1045 1325 2045 2915 4499 5035 5225 7771 10225 11077 14575 21677 22495 25175 38855 55385 85481 108385 112475 194275 238447 276925 411863 427405 459317 541925 1192235 2059315 2137025 2296585 4530493 5052487 5961175 8727023 10296575 11482925 22652465 24343801 25262435 43635115 95997253 113262325 121719005 126312175 187860653 218175575 267781811 462532219 479986265 608595025 939303265 1338909055 2066467183 2312661095 2399931325 3569352407 4696516325 5087854409 6694545275 9956614609 10332335915 11563305475 17846762035 25439272045 39262876477 49783073045 51661679575 89233810175 109522760699 127196360225 189175677571 196314382385 248915365225 547613803495 945878387855 981571911925 2080932453281 2738069017475 4729391939275 10404662266405 52023311332025