257538276761 has 2 divisors, whose sum is σ = 257538276762. Its totient is φ = 257538276760.

The previous prime is 257538276713. The next prime is 257538276791. The reversal of 257538276761 is 167672835752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190654489600 + 66883787161 = 436640^2 + 258619^2 .

It is a cyclic number.

It is not a de Polignac number, because 257538276761 - 2³⁴ = 240358407577 is a prime.

It is a super-2 number, since 2×257538276761² (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 257538276761.

It is not a weakly prime, because it can be changed into another prime (257538276791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128769138380 + 128769138381.

It is an arithmetic number, because the mean of its divisors is an integer number (128769138381).

Almost surely, 2^257538276761 is an apocalyptic number.

It is an amenable number.

257538276761 is a deficient number, since it is larger than the sum of its proper divisors (1).

257538276761 is an equidigital number, since it uses as much as digits as its factorization.

257538276761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 29635200, while the sum is 59.

The spelling of 257538276761 in words is "two hundred fifty-seven billion, five hundred thirty-eight million, two hundred seventy-six thousand, seven hundred sixty-one".