86180553 has 12 divisors (see below), whose sum is σ = 124599748. Its totient is φ = 57399840.

The previous prime is 86180551. The next prime is 86180579. The reversal of 86180553 is 35508168.

It can be written as a sum of positive squares in 2 ways, for example, as 41062464 + 45118089 = 6408^2 + 6717^2 .

It is not a de Polignac number, because 86180553 - 2¹ = 86180551 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86180551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7263 + ... + 15003.

Almost surely, 2^86180553 is an apocalyptic number.

It is an amenable number.

86180553 is a deficient number, since it is larger than the sum of its proper divisors (38419195).

86180553 is a wasteful number, since it uses less digits than its factorization.

86180553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8984 (or 8981 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 86180553 is about 9283.3481567805. The cubic root of 86180553 is about 441.7091802595.

The spelling of 86180553 in words is "eighty-six million, one hundred eighty thousand, five hundred fifty-three".