4917259657 has 2 divisors, whose sum is σ = 4917259658. Its totient is φ = 4917259656.

The previous prime is 4917259651. The next prime is 4917259681. The reversal of 4917259657 is 7569527194.

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., 4912748281 + 4511376 = 70091^2 + 2124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4917259657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4917259598 and 4917259607.

It is not a weakly prime, because it can be changed into another prime (4917259651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2458629828 + 2458629829.

It is an arithmetic number, because the mean of its divisors is an integer number (2458629829).

Almost surely, 2^4917259657 is an apocalyptic number.

It is an amenable number.

4917259657 is a deficient number, since it is larger than the sum of its proper divisors (1).

4917259657 is an equidigital number, since it uses as much as digits as its factorization.

4917259657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4762800, while the sum is 55.

The square root of 4917259657 is about 70123.1748924705. The cubic root of 4917259657 is about 1700.4911679962.

The spelling of 4917259657 in words is "four billion, nine hundred seventeen million, two hundred fifty-nine thousand, six hundred fifty-seven".