257734620053 has 2 divisors, whose sum is σ = 257734620054. Its totient is φ = 257734620052.

The previous prime is 257734620007. The next prime is 257734620089. The reversal of 257734620053 is 350026437752.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164347538404 + 93387081649 = 405398^2 + 305593^2 .

It is a cyclic number.

It is not a de Polignac number, because 257734620053 - 2⁸ = 257734619797 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257734619986 and 257734620013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257734620853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128867310026 + 128867310027.

It is an arithmetic number, because the mean of its divisors is an integer number (128867310027).

Almost surely, 2^257734620053 is an apocalyptic number.

It is an amenable number.

257734620053 is a deficient number, since it is larger than the sum of its proper divisors (1).

257734620053 is an equidigital number, since it uses as much as digits as its factorization.

257734620053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1058400, while the sum is 44.

The spelling of 257734620053 in words is "two hundred fifty-seven billion, seven hundred thirty-four million, six hundred twenty thousand, fifty-three".