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52425052425 = 32521012339901
BaseRepresentation
bin110000110100110001…
…101101000100001001
312000022120222121011100
4300310301231010021
51324331303134200
640030030452013
73534066410304
oct606461550411
9160276877140
1052425052425
1120262636909
12a1b1064009
134c362ba6a5
142774831b3b
15156c718d00
hexc34c6d109

52425052425 has 72 divisors (see below), whose sum is σ = 95245397208. Its totient is φ = 27561600000.

The previous prime is 52425052417. The next prime is 52425052457.

52425052425 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 614643264 + 51810409161 = 24792^2 + 227619^2 .

It is not a de Polignac number, because 52425052425 - 23 = 52425052417 is a prime.

It is a super-2 number, since 2×524250524252 (a number of 22 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 52425052425.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5289975 + ... + 5299875.

It is an arithmetic number, because the mean of its divisors is an integer number (1322852739).

Almost surely, 252425052425 is an apocalyptic number.

It is an amenable number.

52425052425 is a deficient number, since it is larger than the sum of its proper divisors (42820344783).

52425052425 is a wasteful number, since it uses less digits than its factorization.

52425052425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10251 (or 10243 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

It can be divided in two parts, 524250 and 52425, that added together give a palindrome (576675).

The spelling of 52425052425 in words is "fifty-two billion, four hundred twenty-five million, fifty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 101 225 233 303 505 699 909 1165 1515 2097 2525 3495 4545 5825 7575 9901 10485 17475 22725 23533 29703 49505 52425 70599 89109 117665 148515 211797 247525 352995 445545 588325 742575 1000001 1058985 1764975 2227725 2306933 3000003 5000005 5294925 6920799 9000009 11534665 15000015 20762397 25000025 34603995 45000045 57673325 75000075 103811985 173019975 225000225 233000233 519059925 699000699 1165001165 2097002097 3495003495 5825005825 10485010485 17475017475 52425052425