7257633625 has 64 divisors (see below), whose sum is σ = 10512343296. Its totient is φ = 4944000000.

The previous prime is 7257633589. The next prime is 7257633629. The reversal of 7257633625 is 5263367527.

7257633625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7257633625 - 2⁷ = 7257633497 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7257633629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5866507 + ... + 5867743.

It is an arithmetic number, because the mean of its divisors is an integer number (164255364).

Almost surely, 2^7257633625 is an apocalyptic number.

It is an amenable number.

7257633625 is a deficient number, since it is larger than the sum of its proper divisors (3254709671).

7257633625 is a wasteful number, since it uses less digits than its factorization.

7257633625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1521 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 46.

The square root of 7257633625 is about 85191.7462257935. The cubic root of 7257633625 is about 1936.1173652787.

The spelling of 7257633625 in words is "seven billion, two hundred fifty-seven million, six hundred thirty-three thousand, six hundred twenty-five".