512116900 has 81 divisors (see below), whose sum is σ = 1164243843. Its totient is φ = 195523200.

The previous prime is 512116897. The next prime is 512116901. The reversal of 512116900 is 9611215.

The square root of 512116900 is 22630.

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 2802276 + 509314624 = 1674^2 + 22568^2 .

It is a super-2 number, since 2×512116900² = 524527438531220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (512116901) 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, 7015264 + ... + 7015336.

Almost surely, 2^512116900 is an apocalyptic number.

512116900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

512116900 is the 22630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512116900

512116900 is an abundant number, since it is smaller than the sum of its proper divisors (652126943).

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

512116900 is a wasteful number, since it uses less digits than its factorization.

512116900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 25.

The cubic root of 512116900 is about 800.0608807835.

Multiplying 512116900 by its sum of digits (25), we get a square (12802922500 = 113150²).

512116900 divided by its sum of digits (25) gives a square (20484676 = 4526²).

The spelling of 512116900 in words is "five hundred twelve million, one hundred sixteen thousand, nine hundred".