1315731600 has 150 divisors (see below), whose sum is σ = 4722171410. Its totient is φ = 350853120.

The previous prime is 1315731511. The next prime is 1315731617. The reversal of 1315731600 is 61375131.

1315731600 is a `hidden beast` number, since 1 + 3 + 1 + 57 + 3 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11943936 + 1303787664 = 3456^2 + 36108^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×1315731600² = 3462299286477120000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12096 + ... + 52704.

Almost surely, 2^1315731600 is an apocalyptic number.

1315731600 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 1315731600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361085705).

1315731600 is an abundant number, since it is smaller than the sum of its proper divisors (3406439810).

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

1315731600 is a wasteful number, since it uses less digits than its factorization.

1315731600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40639 (or 40619 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1315731600 is about 36273.0147630439. The cubic root of 1315731600 is about 1095.7776423898. Note that the first 3 decimals are identical.

The spelling of 1315731600 in words is "one billion, three hundred fifteen million, seven hundred thirty-one thousand, six hundred".