10590105954917 has 2 divisors, whose sum is σ = 10590105954918. Its totient is φ = 10590105954916.

The previous prime is 10590105954881. The next prime is 10590105955019. The reversal of 10590105954917 is 71945950109501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8683624346401 + 1906481608516 = 2946799^2 + 1380754^2 .

It is a cyclic number.

It is not a de Polignac number, because 10590105954917 - 2³⁶ = 10521386478181 is a prime.

It is a super-2 number, since 2×10590105954917² (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 (10590105951917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5295052977458 + 5295052977459.

It is an arithmetic number, because the mean of its divisors is an integer number (5295052977459).

Almost surely, 2^{10590105954917} is an apocalyptic number.

It is an amenable number.

10590105954917 is a deficient number, since it is larger than the sum of its proper divisors (1).

10590105954917 is an equidigital number, since it uses as much as digits as its factorization.

10590105954917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2551500, while the sum is 56.

The spelling of 10590105954917 in words is "ten trillion, five hundred ninety billion, one hundred five million, nine hundred fifty-four thousand, nine hundred seventeen".