80513577 has 6 divisors (see below), whose sum is σ = 116297402. Its totient is φ = 53675712.

The previous prime is 80513557. The next prime is 80513597. The reversal of 80513577 is 77531508.

80513577 is a `hidden beast` number, since 80 + 5 + 1 + 3 + 577 = 666.

It is an interprime number because it is at equal distance from previous prime (80513557) and next prime (80513597).

It can be written as a sum of positive squares in only one way, i.e., 60047001 + 20466576 = 7749^2 + 4524^2 .

It is not a de Polignac number, because 80513577 - 2¹⁸ = 80251433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80513527) 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 5 ways as a sum of consecutive naturals, for example, 4472968 + ... + 4472985.

Almost surely, 2^80513577 is an apocalyptic number.

It is an amenable number.

80513577 is a deficient number, since it is larger than the sum of its proper divisors (35783825).

80513577 is a wasteful number, since it uses less digits than its factorization.

80513577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8945959 (or 8945956 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 80513577 is about 8972.9358071926. The cubic root of 80513577 is about 431.8070286544.

It can be divided in two parts, 8051 and 3577, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 80513577 in words is "eighty million, five hundred thirteen thousand, five hundred seventy-seven".