32545964025 has 135 divisors (see below), whose sum is σ = 63929317023. Its totient is φ = 16366341600.

The previous prime is 32545964023. The next prime is 32545964027. The reversal of 32545964025 is 52046954523.

The square root of 32545964025 is 180405.

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

32545964025 is a `hidden beast` number, since 3 + 2 + 54 + 596 + 4 + 0 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (32545964023) and next prime (32545964027).

It can be written as a sum of positive squares in only one way, i.e., 11716547049 + 20829416976 = 108243^2 + 144324^2 .

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

It is not a de Polignac number, because 32545964025 - 2¹ = 32545964023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (32545964023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 154246170 + ... + 154246380.

Almost surely, 2^32545964025 is an apocalyptic number.

32545964025 is the 180405-th square number.

32545964025 is the 90203-rd centered octagonal number.

It is an amenable number.

32545964025 is a deficient number, since it is larger than the sum of its proper divisors (31383352998).

32545964025 is an equidigital number, since it uses as much as digits as its factorization.

32545964025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 32545964025 in words is "thirty-two billion, five hundred forty-five million, nine hundred sixty-four thousand, twenty-five".