653438625 has 128 divisors (see below), whose sum is σ = 1322680320. Its totient is φ = 280051200.

The previous prime is 653438587. The next prime is 653438627. The reversal of 653438625 is 526834356.

It is not a de Polignac number, because 653438625 - 2⁶ = 653438561 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (653438627) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4769557 + ... + 4769693.

It is an arithmetic number, because the mean of its divisors is an integer number (10333440).

Almost surely, 2^653438625 is an apocalyptic number.

It is an amenable number.

653438625 is an abundant number, since it is smaller than the sum of its proper divisors (669241695).

653438625 is a wasteful number, since it uses less digits than its factorization.

653438625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 653438625 is about 25562.4455989641. The cubic root of 653438625 is about 867.7639434153.

The spelling of 653438625 in words is "six hundred fifty-three million, four hundred thirty-eight thousand, six hundred twenty-five".