10502882721 has 12 divisors (see below), whose sum is σ = 15171871572. Its totient is φ = 7001441376.

The previous prime is 10502882713. The next prime is 10502882749. The reversal of 10502882721 is 12728820501.

10502882721 is a `hidden beast` number, since 1 + 0 + 502 + 8 + 82 + 72 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 590490000 + 9912392721 = 24300^2 + 99561^2 .

It is not a de Polignac number, because 10502882721 - 2³ = 10502882713 is a prime.

It is a super-2 number, since 2×10502882721² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10502882821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141955 + ... + 202871.

It is an arithmetic number, because the mean of its divisors is an integer number (1264322631).

Almost surely, 2^10502882721 is an apocalyptic number.

It is an amenable number.

10502882721 is a deficient number, since it is larger than the sum of its proper divisors (4668988851).

10502882721 is a wasteful number, since it uses less digits than its factorization.

10502882721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80080 (or 80077 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 10502882721 in words is "ten billion, five hundred two million, eight hundred eighty-two thousand, seven hundred twenty-one".