811282768257 has 24 divisors (see below), whose sum is σ = 1171413767424. Its totient is φ = 499210755264.

The previous prime is 811282768253. The next prime is 811282768271. The reversal of 811282768257 is 752867282118.

It is a happy number.

It is not a de Polignac number, because 811282768257 - 2² = 811282768253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 811282768197 and 811282768206.

It is not an unprimeable number, because it can be changed into a prime (811282768253) 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 23 ways as a sum of consecutive naturals, for example, 7006608 + ... + 7121454.

It is an arithmetic number, because the mean of its divisors is an integer number (48808906976).

Almost surely, 2^811282768257 is an apocalyptic number.

It is an amenable number.

811282768257 is a deficient number, since it is larger than the sum of its proper divisors (360130999167).

811282768257 is a wasteful number, since it uses less digits than its factorization.

811282768257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128809 (or 128796 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 57.

The spelling of 811282768257 in words is "eight hundred eleven billion, two hundred eighty-two million, seven hundred sixty-eight thousand, two hundred fifty-seven".