257111145 has 32 divisors (see below), whose sum is σ = 483978240. Its totient is φ = 129058560.

The previous prime is 257111143. The next prime is 257111149. The reversal of 257111145 is 541111752.

It is not a de Polignac number, because 257111145 - 2¹ = 257111143 is a prime.

It is a super-2 number, since 2×257111145² = 132212281766422050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (257111143) 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, 53721 + ... + 58310.

It is an arithmetic number, because the mean of its divisors is an integer number (15124320).

Almost surely, 2^257111145 is an apocalyptic number.

It is an amenable number.

257111145 is a deficient number, since it is larger than the sum of its proper divisors (226867095).

257111145 is a wasteful number, since it uses less digits than its factorization.

257111145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112062 (or 112056 counting only the distinct ones).

The product of its digits is 1400, while the sum is 27.

The square root of 257111145 is about 16034.6856844779. The cubic root of 257111145 is about 635.8777577448.

Adding to 257111145 its reverse (541111752), we get a palindrome (798222897).

The spelling of 257111145 in words is "two hundred fifty-seven million, one hundred eleven thousand, one hundred forty-five".