86359965133 has 64 divisors (see below), whose sum is σ = 103111952832. Its totient is φ = 71592837120.

The previous prime is 86359965119. The next prime is 86359965161. The reversal of 86359965133 is 33156995368.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 67113119844 + 19246845289 = 259062^2 + 138733^2 .

It is a de Polignac number, because none of the positive numbers 2^k-86359965133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86359965103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90618585 + ... + 90619537.

It is an arithmetic number, because the mean of its divisors is an integer number (1611124263).

Almost surely, 2^86359965133 is an apocalyptic number.

It is an amenable number.

86359965133 is a deficient number, since it is larger than the sum of its proper divisors (16751987699).

86359965133 is a wasteful number, since it uses less digits than its factorization.

86359965133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234.

The product of its digits is 15746400, while the sum is 58.

The spelling of 86359965133 in words is "eighty-six billion, three hundred fifty-nine million, nine hundred sixty-five thousand, one hundred thirty-three".