10507813681 has 2 divisors, whose sum is σ = 10507813682. Its totient is φ = 10507813680.

The previous prime is 10507813663. The next prime is 10507813703. The reversal of 10507813681 is 18631870501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8402472225 + 2105341456 = 91665^2 + 45884^2 .

It is an emirp because it is prime and its reverse (18631870501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10507813681 - 2¹³ = 10507805489 is a prime.

It is a super-2 number, since 2×10507813681² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10507811681) 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 as a sum of consecutive naturals, namely, 5253906840 + 5253906841.

It is an arithmetic number, because the mean of its divisors is an integer number (5253906841).

Almost surely, 2^10507813681 is an apocalyptic number.

It is an amenable number.

10507813681 is a deficient number, since it is larger than the sum of its proper divisors (1).

10507813681 is an equidigital number, since it uses as much as digits as its factorization.

10507813681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 10507813681 in words is "ten billion, five hundred seven million, eight hundred thirteen thousand, six hundred eighty-one".