257135419519897 has 2 divisors, whose sum is σ = 257135419519898. Its totient is φ = 257135419519896.

The previous prime is 257135419519883. The next prime is 257135419519961. The reversal of 257135419519897 is 798915914531752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131909382602761 + 125226036917136 = 11485181^2 + 11190444^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257135419519897 is a prime.

It is a super-2 number, since 2×257135419519897² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257135419510897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128567709759948 + 128567709759949.

It is an arithmetic number, because the mean of its divisors is an integer number (128567709759949).

Almost surely, 2^{257135419519897} is an apocalyptic number.

It is an amenable number.

257135419519897 is a deficient number, since it is larger than the sum of its proper divisors (1).

257135419519897 is an equidigital number, since it uses as much as digits as its factorization.

257135419519897 is an evil number, because the sum of its binary digits is even.

The product of its digits is 857304000, while the sum is 76.

The spelling of 257135419519897 in words is "two hundred fifty-seven trillion, one hundred thirty-five billion, four hundred nineteen million, five hundred nineteen thousand, eight hundred ninety-seven".