257020117 has 2 divisors, whose sum is σ = 257020118. Its totient is φ = 257020116.

The previous prime is 257020091. The next prime is 257020129. The reversal of 257020117 is 711020752.

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., 186896241 + 70123876 = 13671^2 + 8374^2 .

It is a cyclic number.

It is not a de Polignac number, because 257020117 - 2²⁷ = 122802389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257020091 and 257020100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257020157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128510058 + 128510059.

It is an arithmetic number, because the mean of its divisors is an integer number (128510059).

Almost surely, 2^257020117 is an apocalyptic number.

It is an amenable number.

257020117 is a deficient number, since it is larger than the sum of its proper divisors (1).

257020117 is an equidigital number, since it uses as much as digits as its factorization.

257020117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 257020117 is about 16031.8469615949. The cubic root of 257020117 is about 635.8027065281.

Adding to 257020117 its reverse (711020752), we get a palindrome (968040869).

The spelling of 257020117 in words is "two hundred fifty-seven million, twenty thousand, one hundred seventeen".