86725363131 has 48 divisors (see below), whose sum is σ = 139046544000. Its totient is φ = 51643144320.

The previous prime is 86725363111. The next prime is 86725363139. The reversal of 86725363131 is 13136352768.

86725363131 is a `hidden beast` number, since 8 + 6 + 7 + 2 + 5 + 3 + 631 + 3 + 1 = 666.

It is not a de Polignac number, because 86725363131 - 2¹⁷ = 86725232059 is a prime.

It is a super-2 number, since 2×86725363131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86725363139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22071175 + ... + 22075103.

It is an arithmetic number, because the mean of its divisors is an integer number (2896803000).

Almost surely, 2^86725363131 is an apocalyptic number.

86725363131 is a deficient number, since it is larger than the sum of its proper divisors (52321180869).

86725363131 is a wasteful number, since it uses less digits than its factorization.

86725363131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7784 (or 7781 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 86725363131 in words is "eighty-six billion, seven hundred twenty-five million, three hundred sixty-three thousand, one hundred thirty-one".