257345101 has 32 divisors (see below), whose sum is σ = 310262400. Its totient is φ = 211196160.

The previous prime is 257345089. The next prime is 257345111. The reversal of 257345101 is 101543752.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 257345101 - 2⁷ = 257344973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257345101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257345111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264546 + ... + 265516.

It is an arithmetic number, because the mean of its divisors is an integer number (9695700).

Almost surely, 2^257345101 is an apocalyptic number.

It is an amenable number.

257345101 is a deficient number, since it is larger than the sum of its proper divisors (52917299).

257345101 is a wasteful number, since it uses less digits than its factorization.

257345101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 257345101 is about 16041.9793354810. The cubic root of 257345101 is about 636.0705697112.

Adding to 257345101 its reverse (101543752), we get a palindrome (358888853).

It can be divided in two parts, 2573 and 45101, that added together give a palindrome (47674).

The spelling of 257345101 in words is "two hundred fifty-seven million, three hundred forty-five thousand, one hundred one".