4701657133697 has 2 divisors, whose sum is σ = 4701657133698. Its totient is φ = 4701657133696.

The previous prime is 4701657133687. The next prime is 4701657133703. The reversal of 4701657133697 is 7963317561074.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3622383401536 + 1079273732161 = 1903256^2 + 1038881^2 .

It is a cyclic number.

It is not a de Polignac number, because 4701657133697 - 2⁴² = 303610622593 is a prime.

It is not a weakly prime, because it can be changed into another prime (4701657133687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2350828566848 + 2350828566849.

It is an arithmetic number, because the mean of its divisors is an integer number (2350828566849).

Almost surely, 2^{4701657133697} is an apocalyptic number.

It is an amenable number.

4701657133697 is a deficient number, since it is larger than the sum of its proper divisors (1).

4701657133697 is an equidigital number, since it uses as much as digits as its factorization.

4701657133697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20003760, while the sum is 59.

The spelling of 4701657133697 in words is "four trillion, seven hundred one billion, six hundred fifty-seven million, one hundred thirty-three thousand, six hundred ninety-seven".