5959152460817 has 2 divisors, whose sum is σ = 5959152460818. Its totient is φ = 5959152460816.

The previous prime is 5959152460741. The next prime is 5959152460823. The reversal of 5959152460817 is 7180642519595.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5777600624896 + 181551835921 = 2403664^2 + 426089^2 .

It is a cyclic number.

It is not a de Polignac number, because 5959152460817 - 2¹⁴ = 5959152444433 is a prime.

It is a super-2 number, since 2×5959152460817² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5959152460817.

It is not a weakly prime, because it can be changed into another prime (5959152460837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2979576230408 + 2979576230409.

It is an arithmetic number, because the mean of its divisors is an integer number (2979576230409).

Almost surely, 2^{5959152460817} is an apocalyptic number.

It is an amenable number.

5959152460817 is a deficient number, since it is larger than the sum of its proper divisors (1).

5959152460817 is an equidigital number, since it uses as much as digits as its factorization.

5959152460817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27216000, while the sum is 62.

The spelling of 5959152460817 in words is "five trillion, nine hundred fifty-nine billion, one hundred fifty-two million, four hundred sixty thousand, eight hundred seventeen".