10590105951917 has 2 divisors, whose sum is σ = 10590105951918. Its totient is φ = 10590105951916.

The previous prime is 10590105951881. The next prime is 10590105951941. The reversal of 10590105951917 is 71915950109501.

10590105951917 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9073023525316 + 1517082426601 = 3012146^2 + 1231699^2 .

It is a cyclic number.

It is not a de Polignac number, because 10590105951917 - 2¹² = 10590105947821 is a prime.

It is a super-2 number, since 2×10590105951917² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10590105951617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5295052975958 + 5295052975959.

It is an arithmetic number, because the mean of its divisors is an integer number (5295052975959).

Almost surely, 2^{10590105951917} is an apocalyptic number.

It is an amenable number.

10590105951917 is a deficient number, since it is larger than the sum of its proper divisors (1).

10590105951917 is an equidigital number, since it uses as much as digits as its factorization.

10590105951917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 637875, while the sum is 53.

The spelling of 10590105951917 in words is "ten trillion, five hundred ninety billion, one hundred five million, nine hundred fifty-one thousand, nine hundred seventeen".