45251925625 has 45 divisors (see below), whose sum is σ = 57858939369. Its totient is φ = 35380422000.

The previous prime is 45251925617. The next prime is 45251925637. The reversal of 45251925625 is 52652915254.

The square root of 45251925625 is 212725.

It is a perfect power (a square), and thus also a powerful number.

45251925625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3547750969 + 41704174656 = 59563^2 + 204216^2 .

It is not a de Polignac number, because 45251925625 - 2³ = 45251925617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 356314312 + ... + 356314438.

Almost surely, 2^45251925625 is an apocalyptic number.

45251925625 is the 212725-th square number.

45251925625 is the 106363-rd centered octagonal number.

It is an amenable number.

45251925625 is a deficient number, since it is larger than the sum of its proper divisors (12607013744).

45251925625 is an frugal number, since it uses more digits than its factorization.

45251925625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 199 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 46.

The spelling of 45251925625 in words is "forty-five billion, two hundred fifty-one million, nine hundred twenty-five thousand, six hundred twenty-five".