517052251 has 2 divisors, whose sum is σ = 517052252. Its totient is φ = 517052250.

The previous prime is 517052231. The next prime is 517052257. The reversal of 517052251 is 152250715.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 517052251 - 2⁹ = 517051739 is a prime.

It is not a weakly prime, because it can be changed into another prime (517052257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258526125 + 258526126.

It is an arithmetic number, because the mean of its divisors is an integer number (258526126).

Almost surely, 2^517052251 is an apocalyptic number.

517052251 is a deficient number, since it is larger than the sum of its proper divisors (1).

517052251 is an equidigital number, since it uses as much as digits as its factorization.

517052251 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3500, while the sum is 28.

The square root of 517052251 is about 22738.7829709508. The cubic root of 517052251 is about 802.6227726618.

It can be divided in two parts, 51705 and 2251, that added together give a triangular number (53956 = T₃₂₈).

The spelling of 517052251 in words is "five hundred seventeen million, fifty-two thousand, two hundred fifty-one".