61157266617101 has 2 divisors, whose sum is σ = 61157266617102. Its totient is φ = 61157266617100.

The previous prime is 61157266617071. The next prime is 61157266617143. The reversal of 61157266617101 is 10171666275116.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60648255714601 + 509010902500 = 7787699^2 + 713450^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61157266617101 is a prime.

It is a super-2 number, since 2×61157266617101² (a number of 28 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 61157266617101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61157266617151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30578633308550 + 30578633308551.

It is an arithmetic number, because the mean of its divisors is an integer number (30578633308551).

Almost surely, 2^{61157266617101} is an apocalyptic number.

It is an amenable number.

61157266617101 is a deficient number, since it is larger than the sum of its proper divisors (1).

61157266617101 is an equidigital number, since it uses as much as digits as its factorization.

61157266617101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 635040, while the sum is 50.

The spelling of 61157266617101 in words is "sixty-one trillion, one hundred fifty-seven billion, two hundred sixty-six million, six hundred seventeen thousand, one hundred one".