251252461 has 2 divisors, whose sum is σ = 251252462. Its totient is φ = 251252460.

The previous prime is 251252423. The next prime is 251252467. The reversal of 251252461 is 164252152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249798025 + 1454436 = 15805^2 + 1206^2 .

It is a cyclic number.

It is not a de Polignac number, because 251252461 - 2¹⁷ = 251121389 is a prime.

It is equal to p_13744117 and since 251252461 and 13744117 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251252467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125626230 + 125626231.

It is an arithmetic number, because the mean of its divisors is an integer number (125626231).

Almost surely, 2^251252461 is an apocalyptic number.

It is an amenable number.

251252461 is a deficient number, since it is larger than the sum of its proper divisors (1).

251252461 is an equidigital number, since it uses as much as digits as its factorization.

251252461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4800, while the sum is 28.

The square root of 251252461 is about 15850.9451137779. The cubic root of 251252461 is about 631.0107743520.

The spelling of 251252461 in words is "two hundred fifty-one million, two hundred fifty-two thousand, four hundred sixty-one".