251017253 has 2 divisors, whose sum is σ = 251017254. Its totient is φ = 251017252.

The previous prime is 251017231. The next prime is 251017259. The reversal of 251017253 is 352710152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247338529 + 3678724 = 15727^2 + 1918^2 .

It is a cyclic number.

It is not a de Polignac number, because 251017253 - 2¹⁰ = 251016229 is a prime.

It is a super-2 number, since 2×251017253² = 126019322607332018, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251017259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125508626 + 125508627.

It is an arithmetic number, because the mean of its divisors is an integer number (125508627).

Almost surely, 2^251017253 is an apocalyptic number.

It is an amenable number.

251017253 is a deficient number, since it is larger than the sum of its proper divisors (1).

251017253 is an equidigital number, since it uses as much as digits as its factorization.

251017253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 251017253 is about 15843.5240082502. The cubic root of 251017253 is about 630.8138076312.

The spelling of 251017253 in words is "two hundred fifty-one million, seventeen thousand, two hundred fifty-three".