82833042802756 has 81 divisors (see below), whose sum is σ = 155964285907101. Its totient is φ = 38487870521568.

The previous prime is 82833042802721. The next prime is 82833042802759. The reversal of 82833042802756 is 65720824033828.

The square root of 82833042802756 is 9101266.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59714101700100 + 23118941102656 = 7727490^2 + 4808216^2 .

It is a super-2 number, since 2×82833042802756² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82833042802756.

It is not an unprimeable number, because it can be changed into a prime (82833042802759) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18329947465 + ... + 18329951983.

Almost surely, 2^{82833042802756} is an apocalyptic number.

82833042802756 is the 9101266-th square number.

It is an amenable number.

82833042802756 is a deficient number, since it is larger than the sum of its proper divisors (73131243104345).

82833042802756 is an frugal number, since it uses more digits than its factorization.

82833042802756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9186 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 58.

The spelling of 82833042802756 in words is "eighty-two trillion, eight hundred thirty-three billion, forty-two million, eight hundred two thousand, seven hundred fifty-six".