32806265625 has 315 divisors, whose sum is σ = 74492034771. Its totient is φ = 14345100000.

The previous prime is 32806265617. The next prime is 32806265669. The reversal of 32806265625 is 52656260823.

The square root of 32806265625 is 181125.

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

32806265625 is a `hidden beast` number, since 3 + 2 + 80 + 6 + 2 + 6 + 562 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28741438089 + 4064827536 = 169533^2 + 63756^2 .

It is a tau number, because it is divible by the number of its divisors (315).

It is not a de Polignac number, because 32806265625 - 2³ = 32806265617 is a prime.

It is a super-3 number, since 3×32806265625³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 1426359364 + ... + 1426359386.

Almost surely, 2^32806265625 is an apocalyptic number.

32806265625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

32806265625 is the 181125-th square number.

32806265625 is the 90563-rd centered octagonal number.

It is an amenable number.

32806265625 is an abundant number, since it is smaller than the sum of its proper divisors (41685769146).

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

32806265625 is an frugal number, since it uses more digits than its factorization.

32806265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 32806265625 in words is "thirty-two billion, eight hundred six million, two hundred sixty-five thousand, six hundred twenty-five".