641538800364137 has 8 divisors (see below), whose sum is σ = 690923756840520. Its totient is φ = 592158960743040.

The previous prime is 641538800364089. The next prime is 641538800364167. The reversal of 641538800364137 is 731463008835146.

641538800364137 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 4 ways, for example, as 1810488655936 + 639728311708201 = 1345544^2 + 25292851^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 641538800364137 - 2²² = 641538796169833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (641538800364167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1278953414 + ... + 1279454927.

It is an arithmetic number, because the mean of its divisors is an integer number (86365469605065).

Almost surely, 2^{641538800364137} is an apocalyptic number.

It is an amenable number.

641538800364137 is a deficient number, since it is larger than the sum of its proper divisors (49384956476383).

641538800364137 is a wasteful number, since it uses less digits than its factorization.

641538800364137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558427643.

The product of its (nonzero) digits is 34836480, while the sum is 59.

The spelling of 641538800364137 in words is "six hundred forty-one trillion, five hundred thirty-eight billion, eight hundred million, three hundred sixty-four thousand, one hundred thirty-seven".