Search a number
-
+
52025322352025 = 5211832683849539
BaseRepresentation
bin10111101010001000101101…
…10110111010110110011001
320211012120110011110212202202
423311010112312322312121
523304340330010231100
6302352034140135545
713646463662363321
oct1365042666726631
9224176404425682
1052025322352025
11156388a7196830
125a02a332375b5
132304c752164a9
14cbc079192281
15603470c867d5
hex2f5116dbad99

52025322352025 has 48 divisors (see below), whose sum is σ = 71250607169280. Its totient is φ = 37366759022400.

The previous prime is 52025322351973. The next prime is 52025322352051.

52025322352025 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-52025322352025 is a prime.

It is a super-2 number, since 2×520253223520252 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52025322352025.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60814706 + ... + 61664244.

It is an arithmetic number, because the mean of its divisors is an integer number (1484387649360).

Almost surely, 252025322352025 is an apocalyptic number.

52025322352025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52025322352025 is a deficient number, since it is larger than the sum of its proper divisors (19225284817255).

52025322352025 is a wasteful number, since it uses less digits than its factorization.

52025322352025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852326 (or 852321 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 38.

It can be divided in two parts, 5202532 and 2352025, that added together give a palindrome (7554557).

The spelling of 52025322352025 in words is "fifty-two trillion, twenty-five billion, three hundred twenty-two million, three hundred fifty-two thousand, twenty-five".

Divisors: 1 5 11 25 55 83 275 415 913 2075 2683 4565 13415 22825 29513 67075 147565 222689 737825 849539 1113445 2449579 4247695 5567225 9344929 12247895 21238475 46724645 61239475 70511737 233623225 352558685 775629107 1762793425 2279313137 3878145535 11396565685 19390727675 25072444507 56982828425 125362222535 189182990371 626811112675 945914951855 2081012894081 4729574759275 10405064470405 52025322352025