32501242512 has 120 divisors (see below), whose sum is σ = 93321636408. Its totient is φ = 10553088000.

The previous prime is 32501242511. The next prime is 32501242517. The reversal of 32501242512 is 21524210523.

32501242512 is a `hidden beast` number, since 3 + 25 + 0 + 124 + 2 + 512 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 32499436176 = 1344^2 + 180276^2 .

It is not an unprimeable number, because it can be changed into a prime (32501242511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4134778 + ... + 4142630.

Almost surely, 2^32501242512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32501242512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46660818204).

32501242512 is an abundant number, since it is smaller than the sum of its proper divisors (60820393896).

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

32501242512 is a wasteful number, since it uses less digits than its factorization.

32501242512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8609 (or 8600 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 32501242512 in words is "thirty-two billion, five hundred one million, two hundred forty-two thousand, five hundred twelve".