8132509600 has 36 divisors (see below), whose sum is σ = 19853491014. Its totient is φ = 3253003520.

The previous prime is 8132509519. The next prime is 8132509601. The reversal of 8132509600 is 69052318.

It can be written as a sum of positive squares in 3 ways, for example, as 3163387536 + 4969122064 = 56244^2 + 70492^2 .

It is a super-2 number, since 2×8132509600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8132509601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5082019 + ... + 5083618.

Almost surely, 2^8132509600 is an apocalyptic number.

8132509600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8132509600 is an abundant number, since it is smaller than the sum of its proper divisors (11720981414).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8132509600 is a wasteful number, since it uses less digits than its factorization.

8132509600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10165657 (or 10165644 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 8132509600 is about 90180.4280318074. The cubic root of 8132509600 is about 2010.9820535420.

The spelling of 8132509600 in words is "eight billion, one hundred thirty-two million, five hundred nine thousand, six hundred".