653625945 has 192 divisors, whose sum is σ = 1455667200. Its totient is φ = 270047232.

The previous prime is 653625923. The next prime is 653625953. The reversal of 653625945 is 549526356.

653625945 is a `hidden beast` number, since 6 + 53 + 6 + 2 + 594 + 5 = 666.

It is not a de Polignac number, because 653625945 - 2⁶ = 653625881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 653625945.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12332539 + ... + 12332591.

It is an arithmetic number, because the mean of its divisors is an integer number (7581600).

Almost surely, 2^653625945 is an apocalyptic number.

It is an amenable number.

653625945 is an abundant number, since it is smaller than the sum of its proper divisors (802041255).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

653625945 is a wasteful number, since it uses less digits than its factorization.

653625945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 653625945 is about 25566.1093050937. The cubic root of 653625945 is about 867.8468555693.

The spelling of 653625945 in words is "six hundred fifty-three million, six hundred twenty-five thousand, nine hundred forty-five".