207238905225 has 243 divisors, whose sum is σ = 426375917877. Its totient is φ = 96145632000.

The previous prime is 207238905179. The next prime is 207238905277. The reversal of 207238905225 is 522509832702.

The square root of 207238905225 is 455235.

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

207238905225 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 38 + 90 + 522 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43126413561 + 164112491664 = 207669^2 + 405108^2 .

It is not a de Polignac number, because 207238905225 - 2⁹ = 207238904713 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2328526981 + ... + 2328527069.

Almost surely, 2^207238905225 is an apocalyptic number.

207238905225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

207238905225 is the 455235-th square number.

207238905225 is the 227618-th centered octagonal number.

It is an amenable number.

207238905225 is an abundant number, since it is smaller than the sum of its proper divisors (219137012652).

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

207238905225 is a wasteful number, since it uses less digits than its factorization.

207238905225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 207238905225 in words is "two hundred seven billion, two hundred thirty-eight million, nine hundred five thousand, two hundred twenty-five".