61268560361657 has 16 divisors (see below), whose sum is σ = 67934244065280. Its totient is φ = 54790715725200.

The previous prime is 61268560361653. The next prime is 61268560361699. The reversal of 61268560361657 is 75616306586216.

It is a cyclic number.

It is not a de Polignac number, because 61268560361657 - 2² = 61268560361653 is a prime.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61268560361657.

It is not an unprimeable number, because it can be changed into a prime (61268560361653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129846923 + ... + 130317920.

It is an arithmetic number, because the mean of its divisors is an integer number (4245890254080).

Almost surely, 2^{61268560361657} is an apocalyptic number.

It is an amenable number.

61268560361657 is a deficient number, since it is larger than the sum of its proper divisors (6665683703623).

61268560361657 is a wasteful number, since it uses less digits than its factorization.

61268560361657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260165204.

The product of its (nonzero) digits is 65318400, while the sum is 62.

The spelling of 61268560361657 in words is "sixty-one trillion, two hundred sixty-eight billion, five hundred sixty million, three hundred sixty-one thousand, six hundred fifty-seven".