51165506516601 has 32 divisors (see below), whose sum is σ = 68734633968000. Its totient is φ = 33854273922560.

The previous prime is 51165506516591. The next prime is 51165506516611. The reversal of 51165506516601 is 10661560556115.

It is an interprime number because it is at equal distance from previous prime (51165506516591) and next prime (51165506516611).

It is a cyclic number.

It is not a de Polignac number, because 51165506516601 - 2¹¹ = 51165506514553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51165506516611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600075910 + ... + 600161168.

It is an arithmetic number, because the mean of its divisors is an integer number (2147957311500).

Almost surely, 2^{51165506516601} is an apocalyptic number.

It is an amenable number.

51165506516601 is a deficient number, since it is larger than the sum of its proper divisors (17569127451399).

51165506516601 is a wasteful number, since it uses less digits than its factorization.

51165506516601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87929.

The product of its (nonzero) digits is 810000, while the sum is 48.

The spelling of 51165506516601 in words is "fifty-one trillion, one hundred sixty-five billion, five hundred six million, five hundred sixteen thousand, six hundred one".