257133594953 has 2 divisors, whose sum is σ = 257133594954. Its totient is φ = 257133594952.

The previous prime is 257133594941. The next prime is 257133594967. The reversal of 257133594953 is 359495331752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 253621017664 + 3512577289 = 503608^2 + 59267^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257133594953 is a prime.

It is a super-3 number, since 3×257133594953³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (257133594973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128566797476 + 128566797477.

It is an arithmetic number, because the mean of its divisors is an integer number (128566797477).

Almost surely, 2^257133594953 is an apocalyptic number.

It is an amenable number.

257133594953 is a deficient number, since it is larger than the sum of its proper divisors (1).

257133594953 is an equidigital number, since it uses as much as digits as its factorization.

257133594953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15309000, while the sum is 56.

The spelling of 257133594953 in words is "two hundred fifty-seven billion, one hundred thirty-three million, five hundred ninety-four thousand, nine hundred fifty-three".