257144401 has 2 divisors, whose sum is σ = 257144402. Its totient is φ = 257144400.

The previous prime is 257144389. The next prime is 257144449. The reversal of 257144401 is 104441752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251190801 + 5953600 = 15849^2 + 2440^2 .

It is a cyclic number.

It is not a de Polignac number, because 257144401 - 2²¹ = 255047249 is a prime.

It is a super-2 number, since 2×257144401² = 132246485931297602, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257144401.

It is not a weakly prime, because it can be changed into another prime (257144501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128572200 + 128572201.

It is an arithmetic number, because the mean of its divisors is an integer number (128572201).

Almost surely, 2^257144401 is an apocalyptic number.

It is an amenable number.

257144401 is a deficient number, since it is larger than the sum of its proper divisors (1).

257144401 is an equidigital number, since it uses as much as digits as its factorization.

257144401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 257144401 is about 16035.7226528772. The cubic root of 257144401 is about 635.9051723986.

The spelling of 257144401 in words is "two hundred fifty-seven million, one hundred forty-four thousand, four hundred one".