61165712072117 has 2 divisors, whose sum is σ = 61165712072118. Its totient is φ = 61165712072116.

The previous prime is 61165712072081. The next prime is 61165712072131. The reversal of 61165712072117 is 71127021756116.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57327400248196 + 3838311823921 = 7571486^2 + 1959161^2 .

It is a cyclic number.

It is not a de Polignac number, because 61165712072117 - 2⁶ = 61165712072053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61165712002117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30582856036058 + 30582856036059.

It is an arithmetic number, because the mean of its divisors is an integer number (30582856036059).

Almost surely, 2^{61165712072117} is an apocalyptic number.

It is an amenable number.

61165712072117 is a deficient number, since it is larger than the sum of its proper divisors (1).

61165712072117 is an equidigital number, since it uses as much as digits as its factorization.

61165712072117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 246960, while the sum is 47.

The spelling of 61165712072117 in words is "sixty-one trillion, one hundred sixty-five billion, seven hundred twelve million, seventy-two thousand, one hundred seventeen".