83261345013 has 64 divisors (see below), whose sum is σ = 157059440640. Its totient is φ = 42332328000.

The previous prime is 83261344993. The next prime is 83261345087. The reversal of 83261345013 is 31054316238.

83261345013 is a `hidden beast` number, since 8 + 32 + 613 + 4 + 5 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 83261345013 - 2⁶ = 83261344949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83261345113) 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 63 ways as a sum of consecutive naturals, for example, 328338 + ... + 523763.

It is an arithmetic number, because the mean of its divisors is an integer number (2454053760).

Almost surely, 2^83261345013 is an apocalyptic number.

It is an amenable number.

83261345013 is a deficient number, since it is larger than the sum of its proper divisors (73798095627).

83261345013 is a wasteful number, since it uses less digits than its factorization.

83261345013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852175 (or 852169 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 83261345013 in words is "eighty-three billion, two hundred sixty-one million, three hundred forty-five thousand, thirteen".