251456641 has 2 divisors, whose sum is σ = 251456642. Its totient is φ = 251456640.

The previous prime is 251456609. The next prime is 251456663. The reversal of 251456641 is 146654152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231161616 + 20295025 = 15204^2 + 4505^2 .

It is a cyclic number.

It is not a de Polignac number, because 251456641 - 2⁵ = 251456609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 251456597 and 251456606.

It is not a weakly prime, because it can be changed into another prime (251456671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125728320 + 125728321.

It is an arithmetic number, because the mean of its divisors is an integer number (125728321).

Almost surely, 2^251456641 is an apocalyptic number.

It is an amenable number.

251456641 is a deficient number, since it is larger than the sum of its proper divisors (1).

251456641 is an equidigital number, since it uses as much as digits as its factorization.

251456641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 28800, while the sum is 34.

The square root of 251456641 is about 15857.3844312358. The cubic root of 251456641 is about 631.1816581112.

The spelling of 251456641 in words is "two hundred fifty-one million, four hundred fifty-six thousand, six hundred forty-one".