257061155249 has 2 divisors, whose sum is σ = 257061155250. Its totient is φ = 257061155248.

The previous prime is 257061155209. The next prime is 257061155251. The reversal of 257061155249 is 942551160752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 230668878400 + 26392276849 = 480280^2 + 162457^2 .

It is a cyclic number.

It is not a de Polignac number, because 257061155249 - 2⁸ = 257061154993 is a prime.

Together with 257061155251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (257061155209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128530577624 + 128530577625.

It is an arithmetic number, because the mean of its divisors is an integer number (128530577625).

Almost surely, 2^257061155249 is an apocalyptic number.

It is an amenable number.

257061155249 is a deficient number, since it is larger than the sum of its proper divisors (1).

257061155249 is an equidigital number, since it uses as much as digits as its factorization.

257061155249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756000, while the sum is 47.

The spelling of 257061155249 in words is "two hundred fifty-seven billion, sixty-one million, one hundred fifty-five thousand, two hundred forty-nine".