32535140625 has 189 divisors, whose sum is σ = 65375198343. Its totient is φ = 15584400000.

The previous prime is 32535140623. The next prime is 32535140633. The reversal of 32535140625 is 52604153523.

The square root of 32535140625 is 180375.

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

32535140625 is a `hidden beast` number, since 3 + 25 + 3 + 5 + 1 + 4 + 0 + 625 = 666.

It can be written as a sum of positive squares in 31 ways, for example, as 5511726081 + 27023414544 = 74241^2 + 164388^2 .

It is not a de Polignac number, because 32535140625 - 2¹ = 32535140623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 32535140625.

It is not an unprimeable number, because it can be changed into a prime (32535140623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 879328107 + ... + 879328143.

Almost surely, 2^32535140625 is an apocalyptic number.

32535140625 is the 180375-th square number.

32535140625 is the 90188-th centered octagonal number.

It is an amenable number.

32535140625 is an abundant number, since it is smaller than the sum of its proper divisors (32840057718).

32535140625 is an frugal number, since it uses more digits than its factorization.

32535140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Multiplying 32535140625 by its sum of digits (36), we get a square (1171265062500 = 1082250²).

The spelling of 32535140625 in words is "thirty-two billion, five hundred thirty-five million, one hundred forty thousand, six hundred twenty-five".