725631136527 has 32 divisors (see below), whose sum is σ = 1136880746496. Its totient is φ = 407086178400.

The previous prime is 725631136501. The next prime is 725631136547.

725631136527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 725631136527 - 2⁸ = 725631136271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725631136547) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15396403 + ... + 15443460.

It is an arithmetic number, because the mean of its divisors is an integer number (35527523328).

Almost surely, 2^725631136527 is an apocalyptic number.

725631136527 is a deficient number, since it is larger than the sum of its proper divisors (411249609969).

725631136527 is a wasteful number, since it uses less digits than its factorization.

725631136527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30839931.

The product of its digits is 1587600, while the sum is 48.

The spelling of 725631136527 in words is "seven hundred twenty-five billion, six hundred thirty-one million, one hundred thirty-six thousand, five hundred twenty-seven".