1513008900 has 216 divisors, whose sum is σ = 5168184840. Its totient is φ = 367994880.

The previous prime is 1513008863. The next prime is 1513008919. The reversal of 1513008900 is 98003151.

It can be written as a sum of positive squares in 12 ways, for example, as 457018884 + 1055990016 = 21378^2 + 32496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1040574 + ... + 1042026.

Almost surely, 2^1513008900 is an apocalyptic number.

1513008900 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 1513008900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584092420).

1513008900 is an abundant number, since it is smaller than the sum of its proper divisors (3655175940).

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

1513008900 is a wasteful number, since it uses less digits than its factorization.

1513008900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1513008900 is about 38897.4150812107. The cubic root of 1513008900 is about 1148.0139381247.

The spelling of 1513008900 in words is "one billion, five hundred thirteen million, eight thousand, nine hundred".