257538357113 has 2 divisors, whose sum is σ = 257538357114. Its totient is φ = 257538357112.

The previous prime is 257538357077. The next prime is 257538357121. The reversal of 257538357113 is 311753835752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152245894969 + 105292462144 = 390187^2 + 324488^2 .

It is a cyclic number.

It is not a de Polignac number, because 257538357113 - 2¹⁸ = 257538094969 is a prime.

It is not a weakly prime, because it can be changed into another prime (257538357133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128769178556 + 128769178557.

It is an arithmetic number, because the mean of its divisors is an integer number (128769178557).

Almost surely, 2^257538357113 is an apocalyptic number.

It is an amenable number.

257538357113 is a deficient number, since it is larger than the sum of its proper divisors (1).

257538357113 is an equidigital number, since it uses as much as digits as its factorization.

257538357113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2646000, while the sum is 50.

The spelling of 257538357113 in words is "two hundred fifty-seven billion, five hundred thirty-eight million, three hundred fifty-seven thousand, one hundred thirteen".