1315005600 has 144 divisors (see below), whose sum is σ = 4305661920. Its totient is φ = 348595200.

The previous prime is 1315005581. The next prime is 1315005613. The reversal of 1315005600 is 65005131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428070 + ... + 431130.

It is an arithmetic number, because the mean of its divisors is an integer number (29900430).

Almost surely, 2^1315005600 is an apocalyptic number.

1315005600 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 1315005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152830960).

1315005600 is an abundant number, since it is smaller than the sum of its proper divisors (2990656320).

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

1315005600 is a wasteful number, since it uses less digits than its factorization.

1315005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3250 counting only the distinct ones).

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

The square root of 1315005600 is about 36263.0059426959. The cubic root of 1315005600 is about 1095.5760610201.

The spelling of 1315005600 in words is "one billion, three hundred fifteen million, five thousand, six hundred".