2513416100 has 36 divisors (see below), whose sum is σ = 5873663124. Its totient is φ = 928030080.

The previous prime is 2513416049. The next prime is 2513416181. The reversal of 2513416100 is 16143152.

It can be written as a sum of positive squares in 6 ways, for example, as 168532324 + 2344883776 = 12982^2 + 48424^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 965399 + ... + 967998.

It is an arithmetic number, because the mean of its divisors is an integer number (163157309).

Almost surely, 2^2513416100 is an apocalyptic number.

2513416100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2513416100 is an abundant number, since it is smaller than the sum of its proper divisors (3360247024).

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

2513416100 is a wasteful number, since it uses less digits than its factorization.

2513416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933424 (or 1933417 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 2513416100 is about 50133.9814896044. The cubic root of 2513416100 is about 1359.6322715425.

Adding to 2513416100 its reverse (16143152), we get a palindrome (2529559252).

The spelling of 2513416100 in words is "two billion, five hundred thirteen million, four hundred sixteen thousand, one hundred".