638074125 has 64 divisors (see below), whose sum is σ = 1270563840. Its totient is φ = 314107200.

The previous prime is 638074117. The next prime is 638074127. The reversal of 638074125 is 521470836.

638074125 is a `hidden beast` number, since 638 + 0 + 7 + 4 + 12 + 5 = 666.

It is not a de Polignac number, because 638074125 - 2³ = 638074117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 638074125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638074127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36604 + ... + 51146.

It is an arithmetic number, because the mean of its divisors is an integer number (19852560).

Almost surely, 2^638074125 is an apocalyptic number.

638074125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

638074125 is a deficient number, since it is larger than the sum of its proper divisors (632489715).

638074125 is a wasteful number, since it uses less digits than its factorization.

638074125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14580 (or 14564 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 638074125 is about 25260.1291564394. The cubic root of 638074125 is about 860.9085966902.

The spelling of 638074125 in words is "six hundred thirty-eight million, seventy-four thousand, one hundred twenty-five".