238217205625 has 45 divisors (see below), whose sum is σ = 346400621787. Its totient is φ = 163290372000.

The previous prime is 238217205599. The next prime is 238217205631. The reversal of 238217205625 is 526502712832.

The square root of 238217205625 is 488075.

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

It can be written as a sum of positive squares in 7 ways, for example, as 155187935721 + 83029269904 = 393939^2 + 288148^2 .

It is not a de Polignac number, because 238217205625 - 2⁵ = 238217205593 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, 85411731 + ... + 85414519.

Almost surely, 2^238217205625 is an apocalyptic number.

238217205625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

238217205625 is the 488075-th square number.

238217205625 is the 244038-th centered octagonal number.

It is an amenable number.

238217205625 is a deficient number, since it is larger than the sum of its proper divisors (108183416162).

238217205625 is an frugal number, since it uses more digits than its factorization.

238217205625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 238217205625 in words is "two hundred thirty-eight billion, two hundred seventeen million, two hundred five thousand, six hundred twenty-five".