5261130311625 has 192 divisors, whose sum is σ = 10415608347456. Its totient is φ = 2544030720000.

The previous prime is 5261130311587. The next prime is 5261130311639.

5261130311625 is a `hidden beast` number, since 5 + 2 + 6 + 1 + 13 + 0 + 3 + 11 + 625 = 666.

5261130311625 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 32 ways, for example, as 2180852586441 + 3080277725184 = 1476771^2 + 1755072^2 .

It is not a de Polignac number, because 5261130311625 - 2⁶ = 5261130311561 is a prime.

It is a super-2 number, since 2×5261130311625² (a number of 26 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 5261130311625.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71433319 + ... + 71506931.

It is an arithmetic number, because the mean of its divisors is an integer number (54247960143).

Almost surely, 2^{5261130311625} is an apocalyptic number.

It is an amenable number.

5261130311625 is a deficient number, since it is larger than the sum of its proper divisors (5154478035831).

5261130311625 is a wasteful number, since it uses less digits than its factorization.

5261130311625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73789 (or 73776 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

It can be divided in two parts, 5261130 and 311625, that added together give a palindrome (5572755).

The spelling of 5261130311625 in words is "five trillion, two hundred sixty-one billion, one hundred thirty million, three hundred eleven thousand, six hundred twenty-five".