257611973 has 2 divisors, whose sum is σ = 257611974. Its totient is φ = 257611972.

The previous prime is 257611951. The next prime is 257612009. The reversal of 257611973 is 379116752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 143592289 + 114019684 = 11983^2 + 10678^2 .

It is a cyclic number.

It is not a de Polignac number, because 257611973 - 2⁶ = 257611909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257611973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257611903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128805986 + 128805987.

It is an arithmetic number, because the mean of its divisors is an integer number (128805987).

Almost surely, 2^257611973 is an apocalyptic number.

It is an amenable number.

257611973 is a deficient number, since it is larger than the sum of its proper divisors (1).

257611973 is an equidigital number, since it uses as much as digits as its factorization.

257611973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 79380, while the sum is 41.

The square root of 257611973 is about 16050.2951063213. The cubic root of 257611973 is about 636.2903663712.

The spelling of 257611973 in words is "two hundred fifty-seven million, six hundred eleven thousand, nine hundred seventy-three".