51501655165001 has 16 divisors (see below), whose sum is σ = 54624644524944. Its totient is φ = 48389065611264.

The previous prime is 51501655164983. The next prime is 51501655165021. The reversal of 51501655165001 is 10056155610515.

51501655165001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 179848087225 + 51321807077776 = 424085^2 + 7163924^2 .

It is not a de Polignac number, because 51501655165001 - 2²⁶ = 51501588056137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 51501655165001.

It is not an unprimeable number, because it can be changed into a prime (51501655165021) 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 15 ways as a sum of consecutive naturals, for example, 129616031 + ... + 130012763.

It is an arithmetic number, because the mean of its divisors is an integer number (3414040282809).

Almost surely, 2^{51501655165001} is an apocalyptic number.

It is an amenable number.

51501655165001 is a deficient number, since it is larger than the sum of its proper divisors (3122989359943).

51501655165001 is a wasteful number, since it uses less digits than its factorization.

51501655165001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409820.

The product of its (nonzero) digits is 112500, while the sum is 41.

The spelling of 51501655165001 in words is "fifty-one trillion, five hundred one billion, six hundred fifty-five million, one hundred sixty-five thousand, one".