257948101 has 2 divisors, whose sum is σ = 257948102. Its totient is φ = 257948100.

The previous prime is 257948087. The next prime is 257948107. The reversal of 257948101 is 101849752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229068225 + 28879876 = 15135^2 + 5374^2 .

It is a cyclic number.

It is not a de Polignac number, because 257948101 - 2⁷ = 257947973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257948107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128974050 + 128974051.

It is an arithmetic number, because the mean of its divisors is an integer number (128974051).

Almost surely, 2^257948101 is an apocalyptic number.

It is an amenable number.

257948101 is a deficient number, since it is larger than the sum of its proper divisors (1).

257948101 is an equidigital number, since it uses as much as digits as its factorization.

257948101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 257948101 is about 16060.7627776516. The cubic root of 257948101 is about 636.5669866086.

The spelling of 257948101 in words is "two hundred fifty-seven million, nine hundred forty-eight thousand, one hundred one".