1513133568 has 160 divisors (see below), whose sum is σ = 4674700800. Its totient is φ = 482347008.

The previous prime is 1513133509. The next prime is 1513133599. The reversal of 1513133568 is 8653313151.

1513133568 is a `hidden beast` number, since 1 + 513 + 133 + 5 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315573 + ... + 320331.

It is an arithmetic number, because the mean of its divisors is an integer number (29216880).

Almost surely, 2^1513133568 is an apocalyptic number.

1513133568 is a gapful number since it is divisible by the number (18) 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 1513133568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337350400).

1513133568 is an abundant number, since it is smaller than the sum of its proper divisors (3161567232).

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

1513133568 is an equidigital number, since it uses as much as digits as its factorization.

1513133568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4809 (or 4787 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 1513133568 is about 38899.0175711418. The cubic root of 1513133568 is about 1148.0454683801.

The spelling of 1513133568 in words is "one billion, five hundred thirteen million, one hundred thirty-three thousand, five hundred sixty-eight".