5101611001657 has 2 divisors, whose sum is σ = 5101611001658. Its totient is φ = 5101611001656.

The previous prime is 5101611001633. The next prime is 5101611001727. The reversal of 5101611001657 is 7561001161015.

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., 3731924648761 + 1369686352896 = 1931819^2 + 1170336^2 .

It is a cyclic number.

It is not a de Polignac number, because 5101611001657 - 2³⁹ = 4551855187769 is a prime.

It is not a weakly prime, because it can be changed into another prime (5101611701657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2550805500828 + 2550805500829.

It is an arithmetic number, because the mean of its divisors is an integer number (2550805500829).

Almost surely, 2^{5101611001657} is an apocalyptic number.

It is an amenable number.

5101611001657 is a deficient number, since it is larger than the sum of its proper divisors (1).

5101611001657 is an equidigital number, since it uses as much as digits as its factorization.

5101611001657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6300, while the sum is 34.

The spelling of 5101611001657 in words is "five trillion, one hundred one billion, six hundred eleven million, one thousand, six hundred fifty-seven".