725221606122527 has 32 divisors (see below), whose sum is σ = 753268898543616. Its totient is φ = 697727821190400.

The previous prime is 725221606122493. The next prime is 725221606122553.

725221606122527 is nontrivially palindromic in base 10.

725221606122527 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 725221606122527 - 2⁸ = 725221606122271 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 (725221606122427) 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, 2292141113 + ... + 2292457485.

It is an arithmetic number, because the mean of its divisors is an integer number (23539653079488).

Almost surely, 2^{725221606122527} is an apocalyptic number.

725221606122527 is a deficient number, since it is larger than the sum of its proper divisors (28047292421089).

725221606122527 is a wasteful number, since it uses less digits than its factorization.

725221606122527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318791.

The product of its (nonzero) digits is 2822400, while the sum is 50.

It can be divided in two parts, 72522160 and 6122527, that added together give a palindrome (78644687).

The spelling of 725221606122527 in words is "seven hundred twenty-five trillion, two hundred twenty-one billion, six hundred six million, one hundred twenty-two thousand, five hundred twenty-seven".