5167738015961 has 2 divisors, whose sum is σ = 5167738015962. Its totient is φ = 5167738015960.

The previous prime is 5167738015939. The next prime is 5167738015967. The reversal of 5167738015961 is 1695108377615.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4702040959561 + 465697056400 = 2168419^2 + 682420^2 .

It is a cyclic number.

It is not a de Polignac number, because 5167738015961 - 2¹⁴ = 5167737999577 is a prime.

It is a super-3 number, since 3×5167738015961³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5167738015961.

It is not a weakly prime, because it can be changed into another prime (5167738015967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2583869007980 + 2583869007981.

It is an arithmetic number, because the mean of its divisors is an integer number (2583869007981).

Almost surely, 2^{5167738015961} is an apocalyptic number.

It is an amenable number.

5167738015961 is a deficient number, since it is larger than the sum of its proper divisors (1).

5167738015961 is an equidigital number, since it uses as much as digits as its factorization.

5167738015961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9525600, while the sum is 59.

The spelling of 5167738015961 in words is "five trillion, one hundred sixty-seven billion, seven hundred thirty-eight million, fifteen thousand, nine hundred sixty-one".