87605936289 has 15 divisors (see below), whose sum is σ = 130872106497. Its totient is φ = 58402181628.

The previous prime is 87605936267. The next prime is 87605936311. The reversal of 87605936289 is 98263950678.

The square root of 87605936289 is 295983.

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

It is an interprime number because it is at equal distance from previous prime (87605936267) and next prime (87605936311).

It is not a de Polignac number, because 87605936289 - 2²⁷ = 87471718561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87605936219) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2647404 + ... + 2680290.

Almost surely, 2^87605936289 is an apocalyptic number.

87605936289 is the 295983-rd square number.

87605936289 is the 147992-nd centered octagonal number.

It is an amenable number.

87605936289 is a deficient number, since it is larger than the sum of its proper divisors (43266170208).

87605936289 is an frugal number, since it uses more digits than its factorization.

87605936289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65786 (or 32890 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 87605936289 in words is "eighty-seven billion, six hundred five million, nine hundred thirty-six thousand, two hundred eighty-nine".