625007104301221 has 24 divisors (see below), whose sum is σ = 642769433868744. Its totient is φ = 607723485143040.

The previous prime is 625007104301201. The next prime is 625007104301249. The reversal of 625007104301221 is 122103401700526.

It can be written as a sum of positive squares in 12 ways, for example, as 5730690180996 + 619276414120225 = 2393886^2 + 24885265^2 .

It is not a de Polignac number, because 625007104301221 - 2¹⁵ = 625007104268453 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 (625007104301201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17715101101 + ... + 17715136381.

It is an arithmetic number, because the mean of its divisors is an integer number (26782059744531).

Almost surely, 2^{625007104301221} is an apocalyptic number.

It is an amenable number.

625007104301221 is a deficient number, since it is larger than the sum of its proper divisors (17762329567523).

625007104301221 is a wasteful number, since it uses less digits than its factorization.

625007104301221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43321 (or 43284 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 625007104301221 in words is "six hundred twenty-five trillion, seven billion, one hundred four million, three hundred one thousand, two hundred twenty-one".