257164848037 has 2 divisors, whose sum is σ = 257164848038. Its totient is φ = 257164848036.

The previous prime is 257164847993. The next prime is 257164848053. The reversal of 257164848037 is 730848461752.

257164848037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229097206881 + 28067641156 = 478641^2 + 167534^2 .

It is a cyclic number.

It is not a de Polignac number, because 257164848037 - 2³¹ = 255017364389 is a prime.

It is a super-4 number, since 4×257164848037⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257164848077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128582424018 + 128582424019.

It is an arithmetic number, because the mean of its divisors is an integer number (128582424019).

Almost surely, 2^257164848037 is an apocalyptic number.

It is an amenable number.

257164848037 is a deficient number, since it is larger than the sum of its proper divisors (1).

257164848037 is an equidigital number, since it uses as much as digits as its factorization.

257164848037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9031680, while the sum is 55.

The spelling of 257164848037 in words is "two hundred fifty-seven billion, one hundred sixty-four million, eight hundred forty-eight thousand, thirty-seven".