251441968249 has 2 divisors, whose sum is σ = 251441968250. Its totient is φ = 251441968248.

The previous prime is 251441968231. The next prime is 251441968277. The reversal of 251441968249 is 942869144152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 171319004649 + 80122963600 = 413907^2 + 283060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-251441968249 is a prime.

It is a super-2 number, since 2×251441968249² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 251441968249.

It is not a weakly prime, because it can be changed into another prime (251441968849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125720984124 + 125720984125.

It is an arithmetic number, because the mean of its divisors is an integer number (125720984125).

Almost surely, 2^251441968249 is an apocalyptic number.

It is an amenable number.

251441968249 is a deficient number, since it is larger than the sum of its proper divisors (1).

251441968249 is an equidigital number, since it uses as much as digits as its factorization.

251441968249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4976640, while the sum is 55.

The spelling of 251441968249 in words is "two hundred fifty-one billion, four hundred forty-one million, nine hundred sixty-eight thousand, two hundred forty-nine".