316389375225 has 243 divisors, whose sum is σ = 726076119951. Its totient is φ = 131216500800.

The previous prime is 316389375139. The next prime is 316389375229. The reversal of 316389375225 is 522573983613.

The square root of 316389375225 is 562485.

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

316389375225 is a `hidden beast` number, since 3 + 1 + 6 + 3 + 89 + 37 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113900175081 + 202489200144 = 337491^2 + 449988^2 .

It is not a de Polignac number, because 316389375225 - 2⁷ = 316389375097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (316389375229) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 649669932 + ... + 649670418.

Almost surely, 2^316389375225 is an apocalyptic number.

316389375225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

316389375225 is the 562485-th square number.

316389375225 is the 281243-rd centered octagonal number.

It is an amenable number.

316389375225 is an abundant number, since it is smaller than the sum of its proper divisors (409686744726).

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

316389375225 is a wasteful number, since it uses less digits than its factorization.

316389375225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 513 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 316389375225 in words is "three hundred sixteen billion, three hundred eighty-nine million, three hundred seventy-five thousand, two hundred twenty-five".