257764052521037 has 2 divisors, whose sum is σ = 257764052521038. Its totient is φ = 257764052521036.

The previous prime is 257764052520983. The next prime is 257764052521049. The reversal of 257764052521037 is 730125250467752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 253843727760676 + 3920324760361 = 15932474^2 + 1979981^2 .

It is a cyclic number.

It is not a de Polignac number, because 257764052521037 - 2¹⁶ = 257764052455501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257764052521637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128882026260518 + 128882026260519.

It is an arithmetic number, because the mean of its divisors is an integer number (128882026260519).

Almost surely, 2^{257764052521037} is an apocalyptic number.

It is an amenable number.

257764052521037 is a deficient number, since it is larger than the sum of its proper divisors (1).

257764052521037 is an equidigital number, since it uses as much as digits as its factorization.

257764052521037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24696000, while the sum is 56.

The spelling of 257764052521037 in words is "two hundred fifty-seven trillion, seven hundred sixty-four billion, fifty-two million, five hundred twenty-one thousand, thirty-seven".