13287577000 has 64 divisors (see below), whose sum is σ = 31679715600. Its totient is φ = 5214726400.

The previous prime is 13287576923. The next prime is 13287577007. The reversal of 13287577000 is 77578231.

It can be written as a sum of positive squares in 8 ways, for example, as 2830878436 + 10456698564 = 53206^2 + 102258^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (13287577007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72355 + ... + 178354.

Almost surely, 2^13287577000 is an apocalyptic number.

13287577000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13287577000 is an abundant number, since it is smaller than the sum of its proper divisors (18392138600).

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

13287577000 is a wasteful number, since it uses less digits than its factorization.

13287577000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250783 (or 250769 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The spelling of 13287577000 in words is "thirteen billion, two hundred eighty-seven million, five hundred seventy-seven thousand".