32629003225 has 81 divisors (see below), whose sum is σ = 51093301527. Its totient is φ = 20601060480.

The previous prime is 32629003163. The next prime is 32629003229. The reversal of 32629003225 is 52230092623.

It is a happy number.

The square root of 32629003225 is 180635.

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 27044131401 + 5584871824 = 164451^2 + 74732^2 .

It is not a de Polignac number, because 32629003225 - 2²³ = 32620614617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32629003229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 82188727 + ... + 82189123.

Almost surely, 2^32629003225 is an apocalyptic number.

32629003225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

32629003225 is the 180635-th square number.

32629003225 is the 90318-th centered octagonal number.

It is an amenable number.

32629003225 is a deficient number, since it is larger than the sum of its proper divisors (18464298302).

32629003225 is an equidigital number, since it uses as much as digits as its factorization.

32629003225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

Adding to 32629003225 its reverse (52230092623), we get a palindrome (84859095848).

The spelling of 32629003225 in words is "thirty-two billion, six hundred twenty-nine million, three thousand, two hundred twenty-five".