1513988100 has 81 divisors (see below), whose sum is σ = 4749173247. Its totient is φ = 403418880.

The previous prime is 1513988071. The next prime is 1513988107. The reversal of 1513988100 is 18893151.

The square root of 1513988100 is 38910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 465782724 + 1048205376 = 21582^2 + 32376^2 .

It is a super-2 number, since 2×1513988100² = 4584319933883220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1513988107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1166652 + ... + 1167948.

Almost surely, 2^1513988100 is an apocalyptic number.

1513988100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1513988100 is the 38910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1513988100

1513988100 is an abundant number, since it is smaller than the sum of its proper divisors (3235185147).

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

1513988100 is a wasteful number, since it uses less digits than its factorization.

1513988100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The cubic root of 1513988100 is about 1148.2615446935.

Multiplying 1513988100 by its sum of digits (36), we get a square (54503571600 = 233460²).

1513988100 divided by its sum of digits (36) gives a square (42055225 = 6485²).

The spelling of 1513988100 in words is "one billion, five hundred thirteen million, nine hundred eighty-eight thousand, one hundred".