725533565335527 has 32 divisors (see below), whose sum is σ = 1063963018524672. Its totient is φ = 436980334627584.

The previous prime is 725533565335493. The next prime is 725533565335567.

725533565335527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 725533565335527 - 2³⁶ = 725464845858791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725533565335567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400260598 + ... + 402069164.

It is an arithmetic number, because the mean of its divisors is an integer number (33248844328896).

Almost surely, 2^{725533565335527} is an apocalyptic number.

725533565335527 is a deficient number, since it is larger than the sum of its proper divisors (338429453189145).

725533565335527 is a wasteful number, since it uses less digits than its factorization.

725533565335527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027487.

The product of its digits is 1488375000, while the sum is 66.

The spelling of 725533565335527 in words is "seven hundred twenty-five trillion, five hundred thirty-three billion, five hundred sixty-five million, three hundred thirty-five thousand, five hundred twenty-seven".