8051472900 has 135 divisors (see below), whose sum is σ = 26125898799. Its totient is φ = 2144905920.

The previous prime is 8051472887. The next prime is 8051472929. The reversal of 8051472900 is 92741508.

The square root of 8051472900 is 89730.

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 536663556 + 7514809344 = 23166^2 + 86688^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8075202 + ... + 8076198.

Almost surely, 2^8051472900 is an apocalyptic number.

8051472900 is the 89730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8051472900

8051472900 is an abundant number, since it is smaller than the sum of its proper divisors (18074425899).

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

8051472900 is an equidigital number, since it uses as much as digits as its factorization.

8051472900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The cubic root of 8051472900 is about 2004.2802415647.

Multiplying 8051472900 by its sum of digits (36), we get a square (289853024400 = 538380²).

8051472900 divided by its sum of digits (36) gives a square (223652025 = 14955²).

The spelling of 8051472900 in words is "eight billion, fifty-one million, four hundred seventy-two thousand, nine hundred".