32252568100 has 27 divisors (see below), whose sum is σ = 69991970097. Its totient is φ = 12900308880.

The previous prime is 32252568097. The next prime is 32252568121. The reversal of 32252568100 is 186525223.

The square root of 32252568100 is 179590.

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

It can be written as a sum of positive squares in only one way, i.e., 11610924516 + 20641643584 = 107754^2 + 143672^2 .

It is a super-2 number, since 2×32252568100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1786921 + ... + 1804879.

Almost surely, 2^32252568100 is an apocalyptic number.

32252568100 is the 179590-th square number.

It is an amenable number.

32252568100 is an abundant number, since it is smaller than the sum of its proper divisors (37739401997).

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

32252568100 is an frugal number, since it uses more digits than its factorization.

32252568100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35932 (or 17966 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

It can be divided in two parts, 322525 and 68100, that added together give a 8-th power (390625 = 5⁸).

The spelling of 32252568100 in words is "thirty-two billion, two hundred fifty-two million, five hundred sixty-eight thousand, one hundred".