32125185225 has 135 divisors (see below), whose sum is σ = 69344238117. Its totient is φ = 14659989120.

The previous prime is 32125185173. The next prime is 32125185251. The reversal of 32125185225 is 52258152123.

The square root of 32125185225 is 179235.

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

32125185225 is a `hidden beast` number, since 3 + 2 + 125 + 1 + 8 + 522 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7635439161 + 24489746064 = 87381^2 + 156492^2 .

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

It is not a de Polignac number, because 32125185225 - 2¹¹ = 32125183177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 32125185225.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 56458741 + ... + 56459309.

Almost surely, 2^32125185225 is an apocalyptic number.

32125185225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

32125185225 is the 179235-th square number.

32125185225 is the 89618-th centered octagonal number.

It is an amenable number.

32125185225 is an abundant number, since it is smaller than the sum of its proper divisors (37219052892).

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

32125185225 is an frugal number, since it uses more digits than its factorization.

32125185225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 584 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

Multiplying 32125185225 by its sum of digits (36), we get a square (1156506668100 = 1075410²).

The spelling of 32125185225 in words is "thirty-two billion, one hundred twenty-five million, one hundred eighty-five thousand, two hundred twenty-five".