87408531658009 has 9 divisors (see below), whose sum is σ = 89089371588189. Its totient is φ = 85758827918400.

The previous prime is 87408531657983. The next prime is 87408531658033. The reversal of 87408531658009 is 90085613580478.

The square root of 87408531658009 is 9349253.

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

It can be written as a sum of positive squares in 4 ways, for example, as 62638281369225 + 24770250288784 = 7914435^2 + 4976972^2 .

It is not a de Polignac number, because 87408531658009 - 2¹¹ = 87408531655961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87408531658039) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 495422209 + ... + 495598609.

Almost surely, 2^{87408531658009} is an apocalyptic number.

87408531658009 is the 9349253-rd square number.

87408531658009 is the 4674627-th centered octagonal number.

It is an amenable number.

87408531658009 is a deficient number, since it is larger than the sum of its proper divisors (1680839930180).

87408531658009 is an frugal number, since it uses more digits than its factorization.

87408531658009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352908 (or 176454 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 64.

The spelling of 87408531658009 in words is "eighty-seven trillion, four hundred eight billion, five hundred thirty-one million, six hundred fifty-eight thousand, nine".