315314505 has 96 divisors (see below), whose sum is σ = 625632000. Its totient is φ = 150543360.

The previous prime is 315314491. The next prime is 315314509. The reversal of 315314505 is 505413513.

315314505 is a `hidden beast` number, since 3 + 153 + 1 + 4 + 505 = 666.

It is not a de Polignac number, because 315314505 - 2²⁰ = 314265929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (315314509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1584396 + ... + 1584594.

It is an arithmetic number, because the mean of its divisors is an integer number (6517000).

Almost surely, 2^315314505 is an apocalyptic number.

It is an amenable number.

315314505 is a deficient number, since it is larger than the sum of its proper divisors (310317495).

315314505 is a wasteful number, since it uses less digits than its factorization.

315314505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 315314505 is about 17757.0973134688. The cubic root of 315314505 is about 680.6355829392.

The spelling of 315314505 in words is "three hundred fifteen million, three hundred fourteen thousand, five hundred five".