83121348512511 has 12 divisors (see below), whose sum is σ = 125284351381488. Its totient is φ = 53004917891904.

The previous prime is 83121348512437. The next prime is 83121348512599. The reversal of 83121348512511 is 11521584312138.

83121348512511 is a `hidden beast` number, since 8 + 3 + 1 + 2 + 1 + 348 + 51 + 251 + 1 = 666.

It is not a de Polignac number, because 83121348512511 - 2³⁵ = 83086988774143 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83121348516511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200776203930 + ... + 200776204343.

It is an arithmetic number, because the mean of its divisors is an integer number (10440362615124).

Almost surely, 2^{83121348512511} is an apocalyptic number.

83121348512511 is a deficient number, since it is larger than the sum of its proper divisors (42163002868977).

83121348512511 is a wasteful number, since it uses less digits than its factorization.

83121348512511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401552408302 (or 401552408299 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The spelling of 83121348512511 in words is "eighty-three trillion, one hundred twenty-one billion, three hundred forty-eight million, five hundred twelve thousand, five hundred eleven".