51601688517001 has 8 divisors (see below), whose sum is σ = 58973503299264. Its totient is φ = 44229909983280.

The previous prime is 51601688516971. The next prime is 51601688517031. The reversal of 51601688517001 is 10071588610615.

51601688517001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51601688516971) and next prime (51601688517031).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 51601688517001 - 2¹⁹ = 51601687992713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51601688517031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5939950 + ... + 11768023.

It is an arithmetic number, because the mean of its divisors is an integer number (7371687912408).

Almost surely, 2^{51601688517001} is an apocalyptic number.

It is an amenable number.

51601688517001 is a deficient number, since it is larger than the sum of its proper divisors (7371814782263).

51601688517001 is a wasteful number, since it uses less digits than its factorization.

51601688517001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18124271.

The product of its (nonzero) digits is 403200, while the sum is 49.

The spelling of 51601688517001 in words is "fifty-one trillion, six hundred one billion, six hundred eighty-eight million, five hundred seventeen thousand, one".