638201265625 has 189 divisors, whose sum is σ = 1032453835203. Its totient is φ = 393046500000.

The previous prime is 638201265613. The next prime is 638201265649. The reversal of 638201265625 is 526562102836.

The square root of 638201265625 is 798875.

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

It can be written as a sum of positive squares in 3 ways, for example, as 559125576009 + 79075689616 = 747747^2 + 281204^2 .

It is not a de Polignac number, because 638201265625 - 2¹⁵ = 638201232857 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 7689171834 + ... + 7689171916.

Almost surely, 2^638201265625 is an apocalyptic number.

638201265625 is the 798875-th square number.

638201265625 is the 399438-th centered octagonal number.

It is an amenable number.

638201265625 is a deficient number, since it is larger than the sum of its proper divisors (394252569578).

638201265625 is an frugal number, since it uses more digits than its factorization.

638201265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 638201265625 in words is "six hundred thirty-eight billion, two hundred one million, two hundred sixty-five thousand, six hundred twenty-five".