1315315200 has 120 divisors (see below), whose sum is σ = 4345188408. Its totient is φ = 350740480.

The previous prime is 1315315171. The next prime is 1315315249. The reversal of 1315315200 is 25135131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21274 + ... + 55526.

Almost surely, 2^1315315200 is an apocalyptic number.

1315315200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172594204).

1315315200 is an abundant number, since it is smaller than the sum of its proper divisors (3029873208).

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

1315315200 is an equidigital number, since it uses as much as digits as its factorization.

1315315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34284 (or 34263 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1315315200 is about 36267.2745047102. The cubic root of 1315315200 is about 1095.6620337167.

The spelling of 1315315200 in words is "one billion, three hundred fifteen million, three hundred fifteen thousand, two hundred".