82701835527763 has 16 divisors (see below), whose sum is σ = 83809905822720. Its totient is φ = 81596440257696.

The previous prime is 82701835527737. The next prime is 82701835527781. The reversal of 82701835527763 is 36772553810728.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82701835527763 is a prime.

It is a super-2 number, since 2×82701835527763² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82701835527695 and 82701835527704.

It is not an unprimeable number, because it can be changed into a prime (82701835507763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 980778718 + ... + 980863036.

It is an arithmetic number, because the mean of its divisors is an integer number (5238119113920).

Almost surely, 2^{82701835527763} is an apocalyptic number.

82701835527763 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

82701835527763 is a deficient number, since it is larger than the sum of its proper divisors (1108070294957).

82701835527763 is a wasteful number, since it uses less digits than its factorization.

82701835527763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100026.

The product of its (nonzero) digits is 118540800, while the sum is 64.

The spelling of 82701835527763 in words is "eighty-two trillion, seven hundred one billion, eight hundred thirty-five million, five hundred twenty-seven thousand, seven hundred sixty-three".