6517251462257 has 2 divisors, whose sum is σ = 6517251462258. Its totient is φ = 6517251462256.

The previous prime is 6517251462229. The next prime is 6517251462259. The reversal of 6517251462257 is 7522641527156.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5862407980081 + 654843482176 = 2421241^2 + 809224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6517251462257 is a prime.

Together with 6517251462259, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 6517251462199 and 6517251462208.

It is not a weakly prime, because it can be changed into another prime (6517251462259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3258625731128 + 3258625731129.

It is an arithmetic number, because the mean of its divisors is an integer number (3258625731129).

Almost surely, 2^{6517251462257} is an apocalyptic number.

It is an amenable number.

6517251462257 is a deficient number, since it is larger than the sum of its proper divisors (1).

6517251462257 is an equidigital number, since it uses as much as digits as its factorization.

6517251462257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7056000, while the sum is 53.

The spelling of 6517251462257 in words is "six trillion, five hundred seventeen billion, two hundred fifty-one million, four hundred sixty-two thousand, two hundred fifty-seven".