85586465313 has 12 divisors (see below), whose sum is σ = 123675447168. Its totient is φ = 57034311480.

The previous prime is 85586465299. The next prime is 85586465317. The reversal of 85586465313 is 31356468558.

It is a happy number.

85586465313 is a `hidden beast` number, since 8 + 5 + 586 + 4 + 6 + 53 + 1 + 3 = 666.

It is not a de Polignac number, because 85586465313 - 2⁴ = 85586465297 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 85586465313.

It is not an unprimeable number, because it can be changed into a prime (85586465317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1921093 + ... + 1965138.

It is an arithmetic number, because the mean of its divisors is an integer number (10306287264).

Almost surely, 2^85586465313 is an apocalyptic number.

It is an amenable number.

85586465313 is a deficient number, since it is larger than the sum of its proper divisors (38088981855).

85586465313 is a wasteful number, since it uses less digits than its factorization.

85586465313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888684 (or 3888681 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 85586465313 in words is "eighty-five billion, five hundred eighty-six million, four hundred sixty-five thousand, three hundred thirteen".