32507008209 has 135 divisors (see below), whose sum is σ = 55800825003. Its totient is φ = 18848969568.

The previous prime is 32507008189. The next prime is 32507008253. The reversal of 32507008209 is 90280070523.

It is a happy number.

The square root of 32507008209 is 180297.

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

It can be written as a sum of positive squares in only one way, i.e., 4808729025 + 27698279184 = 69345^2 + 166428^2 .

It is not a de Polignac number, because 32507008209 - 2²¹ = 32504911057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32507008279) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 485179194 + ... + 485179260.

Almost surely, 2^32507008209 is an apocalyptic number.

32507008209 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

32507008209 is the 180297-th square number.

32507008209 is the 90149-th centered octagonal number.

It is an amenable number.

32507008209 is a deficient number, since it is larger than the sum of its proper divisors (23293816794).

32507008209 is an equidigital number, since it uses as much as digits as its factorization.

32507008209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 32507008209 by its sum of digits (36), we get a square (1170252295524 = 1081782²).

The spelling of 32507008209 in words is "thirty-two billion, five hundred seven million, eight thousand, two hundred nine".