32481050625 has 135 divisors (see below), whose sum is σ = 61571112031. Its totient is φ = 17128584000.

The previous prime is 32481050617. The next prime is 32481050633. The reversal of 32481050625 is 52605018423.

The square root of 32481050625 is 180225.

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

32481050625 is a `hidden beast` number, since 3 + 24 + 8 + 1 + 0 + 5 + 0 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (32481050617) and next prime (32481050633).

It can be written as a sum of positive squares in 7 ways, for example, as 31553482689 + 927567936 = 177633^2 + 30456^2 .

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

It is not a de Polignac number, because 32481050625 - 2³ = 32481050617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32481050625.

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, 364955581 + ... + 364955669.

Almost surely, 2^32481050625 is an apocalyptic number.

32481050625 is the 180225-th square number.

32481050625 is the 90113-rd centered octagonal number.

It is an amenable number.

32481050625 is a deficient number, since it is larger than the sum of its proper divisors (29090061406).

32481050625 is an frugal number, since it uses more digits than its factorization.

32481050625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 32481050625 by its sum of digits (36), we get a square (1169317822500 = 1081350²).

The spelling of 32481050625 in words is "thirty-two billion, four hundred eighty-one million, fifty thousand, six hundred twenty-five".