725528825527 has 16 divisors (see below), whose sum is σ = 819071729280. Its totient is φ = 636599829600.

The previous prime is 725528825479. The next prime is 725528825537.

725528825527 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 725528825527 - 2³⁹ = 175773011639 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725528825537) 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 15 ways as a sum of consecutive naturals, for example, 488452 + ... + 1299862.

It is an arithmetic number, because the mean of its divisors is an integer number (51191983080).

Almost surely, 2^725528825527 is an apocalyptic number.

725528825527 is a deficient number, since it is larger than the sum of its proper divisors (93542903753).

725528825527 is a wasteful number, since it uses less digits than its factorization.

725528825527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814254.

The product of its digits is 31360000, while the sum is 58.

The spelling of 725528825527 in words is "seven hundred twenty-five billion, five hundred twenty-eight million, eight hundred twenty-five thousand, five hundred twenty-seven".