32064642379225 has 27 divisors (see below), whose sum is σ = 40161300812119. Its totient is φ = 25395471512000.

The previous prime is 32064642379183. The next prime is 32064642379271. The reversal of 32064642379225 is 52297324646023.

It is a happy number.

The square root of 32064642379225 is 5662565.

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 20480448934089 + 11584193445136 = 4525533^2 + 3403556^2 .

It is not a de Polignac number, because 32064642379225 - 2¹³ = 32064642371033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2859589719 + ... + 2859600931.

Almost surely, 2^{32064642379225} is an apocalyptic number.

32064642379225 is the 5662565-th square number.

32064642379225 is the 2831283-rd centered octagonal number.

It is an amenable number.

32064642379225 is a deficient number, since it is larger than the sum of its proper divisors (8096658432894).

32064642379225 is an frugal number, since it uses more digits than its factorization.

32064642379225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22638 (or 11319 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 55.

The spelling of 32064642379225 in words is "thirty-two trillion, sixty-four billion, six hundred forty-two million, three hundred seventy-nine thousand, two hundred twenty-five".