32409000625 has 45 divisors (see below), whose sum is σ = 42855032781. Its totient is φ = 24497802000.

The previous prime is 32409000599. The next prime is 32409000641. The reversal of 32409000625 is 52600090423.

The square root of 32409000625 is 180025.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2540865649 + 29868134976 = 50407^2 + 172824^2 .

It is not a de Polignac number, because 32409000625 - 2¹³ = 32408992433 is a prime.

It is a super-2 number, since 2×32409000625² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 85511686 + ... + 85512064.

Almost surely, 2^32409000625 is an apocalyptic number.

32409000625 is the 180025-th square number.

32409000625 is the 90013-rd centered octagonal number.

It is an amenable number.

32409000625 is a deficient number, since it is larger than the sum of its proper divisors (10446032156).

32409000625 is an frugal number, since it uses more digits than its factorization.

32409000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 32409000625 in words is "thirty-two billion, four hundred nine million, six hundred twenty-five", and thus it is an aban number.