86018437521 has 27 divisors (see below), whose sum is σ = 126466783131. Its totient is φ = 56339643744.

The previous prime is 86018437507. The next prime is 86018437537. The reversal of 86018437521 is 12573481068.

The square root of 86018437521 is 293289.

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

86018437521 is a `hidden beast` number, since 8 + 601 + 8 + 4 + 37 + 5 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27388595025 + 58629842496 = 165495^2 + 242136^2 .

It is not a de Polignac number, because 86018437521 - 2⁵ = 86018437489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86018437501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51911325 + ... + 51912981.

Almost surely, 2^86018437521 is an apocalyptic number.

86018437521 is the 293289-th square number.

86018437521 is the 146645-th centered octagonal number.

It is an amenable number.

86018437521 is a deficient number, since it is larger than the sum of its proper divisors (40448345610).

86018437521 is an frugal number, since it uses more digits than its factorization.

86018437521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 86018437521 in words is "eighty-six billion, eighteen million, four hundred thirty-seven thousand, five hundred twenty-one".