73186036087313 has 16 divisors (see below), whose sum is σ = 75408629726160. Its totient is φ = 70994700801024.

The previous prime is 73186036087237. The next prime is 73186036087327. The reversal of 73186036087313 is 31378063068137.

It can be written as a sum of positive squares in 8 ways, for example, as 22360301054224 + 50825735033089 = 4728668^2 + 7129217^2 .

It is a cyclic number.

It is not a de Polignac number, because 73186036087313 - 2⁸ = 73186036087057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73186036087513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93255845 + ... + 94037357.

It is an arithmetic number, because the mean of its divisors is an integer number (4713039357885).

Almost surely, 2^{73186036087313} is an apocalyptic number.

It is an amenable number.

73186036087313 is a deficient number, since it is larger than the sum of its proper divisors (2222593638847).

73186036087313 is a wasteful number, since it uses less digits than its factorization.

73186036087313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801508.

The product of its (nonzero) digits is 9144576, while the sum is 56.

The spelling of 73186036087313 in words is "seventy-three trillion, one hundred eighty-six billion, thirty-six million, eighty-seven thousand, three hundred thirteen".