32211275625 has 45 divisors (see below), whose sum is σ = 58164942979. Its totient is φ = 17172168000.

The previous prime is 32211275597. The next prime is 32211275627. The reversal of 32211275625 is 52657211223.

The square root of 32211275625 is 179475.

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

32211275625 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 1 + 27 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 31591863081 + 619412544 = 177741^2 + 24888^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 32211275625 - 2³¹ = 30063791977 is a prime.

It is a Duffinian number.

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 32211275625.

It is not an unprimeable number, because it can be changed into a prime (32211275627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13459429 + ... + 13461821.

Almost surely, 2^32211275625 is an apocalyptic number.

32211275625 is the 179475-th square number.

32211275625 is the 89738-th centered octagonal number.

It is an amenable number.

32211275625 is a deficient number, since it is larger than the sum of its proper divisors (25953667354).

32211275625 is an frugal number, since it uses more digits than its factorization.

32211275625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 2401 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

Multiplying 32211275625 by its sum of digits (36), we get a square (1159605922500 = 1076850²).

Adding to 32211275625 its reverse (52657211223), we get a palindrome (84868486848).

The spelling of 32211275625 in words is "thirty-two billion, two hundred eleven million, two hundred seventy-five thousand, six hundred twenty-five".