64537627042961 has 2 divisors, whose sum is σ = 64537627042962. Its totient is φ = 64537627042960.

The previous prime is 64537627042949. The next prime is 64537627043003. The reversal of 64537627042961 is 16924072673546.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45395523264400 + 19142103778561 = 6737620^2 + 4375169^2 .

It is a cyclic number.

It is not a de Polignac number, because 64537627042961 - 2¹⁴ = 64537627026577 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 64537627042894 and 64537627042903.

It is not a weakly prime, because it can be changed into another prime (64537627042061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32268813521480 + 32268813521481.

It is an arithmetic number, because the mean of its divisors is an integer number (32268813521481).

Almost surely, 2^{64537627042961} is an apocalyptic number.

It is an amenable number.

64537627042961 is a deficient number, since it is larger than the sum of its proper divisors (1).

64537627042961 is an equidigital number, since it uses as much as digits as its factorization.

64537627042961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 91445760, while the sum is 62.

The spelling of 64537627042961 in words is "sixty-four trillion, five hundred thirty-seven billion, six hundred twenty-seven million, forty-two thousand, nine hundred sixty-one".