315344018025 has 45 divisors (see below), whose sum is σ = 584172941671. Its totient is φ = 168169998960.

The previous prime is 315344017949. The next prime is 315344018083. The reversal of 315344018025 is 520810443513.

The square root of 315344018025 is 561555.

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

315344018025 is a `hidden beast` number, since 3 + 1 + 534 + 40 + 1 + 80 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113523846489 + 201820171536 = 336933^2 + 449244^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 315344018025 - 2¹¹ = 315344015977 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, 25263736 + ... + 25276214.

Almost surely, 2^315344018025 is an apocalyptic number.

315344018025 is the 561555-th square number.

315344018025 is the 280778-th centered octagonal number.

It is an amenable number.

315344018025 is a deficient number, since it is larger than the sum of its proper divisors (268828923646).

315344018025 is an frugal number, since it uses more digits than its factorization.

315344018025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24980 (or 12487 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 315344018025 by its sum of digits (36), we get a square (11352384648900 = 3369330²).

The spelling of 315344018025 in words is "three hundred fifteen billion, three hundred forty-four million, eighteen thousand, twenty-five".