5251132311525 has 36 divisors (see below), whose sum is σ = 9498483860580. Its totient is φ = 2772875136000.

The previous prime is 5251132311427. The next prime is 5251132311553.

5251132311525 is a `hidden beast` number, since 5 + 2 + 5 + 113 + 2 + 3 + 11 + 525 = 666.

5251132311525 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 761280680196 + 4489851631329 = 872514^2 + 2118927^2 .

It is not a de Polignac number, because 5251132311525 - 2¹⁷ = 5251132180453 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5251132311525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115513740 + ... + 115559189.

It is an arithmetic number, because the mean of its divisors is an integer number (263846773905).

Almost surely, 2^{5251132311525} is an apocalyptic number.

It is an amenable number.

5251132311525 is a deficient number, since it is larger than the sum of its proper divisors (4247351549055).

5251132311525 is a wasteful number, since it uses less digits than its factorization.

5251132311525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231073046 (or 231073038 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The spelling of 5251132311525 in words is "five trillion, two hundred fifty-one billion, one hundred thirty-two million, three hundred eleven thousand, five hundred twenty-five".