10831563005957 has 2 divisors, whose sum is σ = 10831563005958. Its totient is φ = 10831563005956.

The previous prime is 10831563005909. The next prime is 10831563005981. The reversal of 10831563005957 is 75950036513801.

10831563005957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3291134²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10831563005956 + 1 = 3291134^2 + 1^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10831563005957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10831563005899 and 10831563005908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10831563002957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5415781502978 + 5415781502979.

It is an arithmetic number, because the mean of its divisors is an integer number (5415781502979).

Almost surely, 2^{10831563005957} is an apocalyptic number.

It is an amenable number.

10831563005957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10831563005957 is an equidigital number, since it uses as much as digits as its factorization.

10831563005957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402000, while the sum is 53.

The spelling of 10831563005957 in words is "ten trillion, eight hundred thirty-one billion, five hundred sixty-three million, five thousand, nine hundred fifty-seven".