315245525020200 has 144 divisors (see below), whose sum is σ = 1072100815531200. Its totient is φ = 83001353385600.

The previous prime is 315245525020199. The next prime is 315245525020211. The reversal of 315245525020200 is 2020525542513.

315245525020200 is a `hidden beast` number, since 3 + 1 + 52 + 4 + 552 + 50 + 2 + 0 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1108316046 + ... + 1108600445.

It is an arithmetic number, because the mean of its divisors is an integer number (7445144552300).

Almost surely, 2^{315245525020200} is an apocalyptic number.

315245525020200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315245525020200 is an abundant number, since it is smaller than the sum of its proper divisors (756855290511000).

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

315245525020200 is a wasteful number, since it uses less digits than its factorization.

315245525020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216916592 (or 2216916580 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 315245525020200 in words is "three hundred fifteen trillion, two hundred forty-five billion, five hundred twenty-five million, twenty thousand, two hundred".