32502681225 has 243 divisors, whose sum is σ = 72657755391. Its totient is φ = 13845888000.

The previous prime is 32502681193. The next prime is 32502681247. The reversal of 32502681225 is 52218620523.

It is a happy number.

The square root of 32502681225 is 180285.

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

It can be written as a sum of positive squares in 13 ways, for example, as 68112009 + 32434569216 = 8253^2 + 180096^2 .

It is not a de Polignac number, because 32502681225 - 2⁵ = 32502681193 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 32502681225.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 321808675 + ... + 321808775.

Almost surely, 2^32502681225 is an apocalyptic number.

32502681225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

32502681225 is the 180285-th square number.

32502681225 is the 90143-rd centered octagonal number.

It is an amenable number.

32502681225 is an abundant number, since it is smaller than the sum of its proper divisors (40155074166).

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

32502681225 is a wasteful number, since it uses less digits than its factorization.

32502681225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 133 counting only the distinct ones).

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

Multiplying 32502681225 by its sum of digits (36), we get a square (1170096524100 = 1081710²).

The spelling of 32502681225 in words is "thirty-two billion, five hundred two million, six hundred eighty-one thousand, two hundred twenty-five".