257441345 has 12 divisors (see below), whose sum is σ = 359367444. Its totient is φ = 176531040.

The previous prime is 257441293. The next prime is 257441347. The reversal of 257441345 is 543144752.

257441345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 72454144 + 184987201 = 8512^2 + 13601^2 .

It is not a de Polignac number, because 257441345 - 2⁶ = 257441281 is a prime.

It is a super-2 number, since 2×257441345² = 132552092230818050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257441347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525146 + ... + 525635.

It is an arithmetic number, because the mean of its divisors is an integer number (29947287).

Almost surely, 2^257441345 is an apocalyptic number.

It is an amenable number.

257441345 is a deficient number, since it is larger than the sum of its proper divisors (101926099).

257441345 is a wasteful number, since it uses less digits than its factorization.

257441345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050800 (or 1050793 counting only the distinct ones).

The product of its digits is 67200, while the sum is 35.

The square root of 257441345 is about 16044.9788095840. The cubic root of 257441345 is about 636.1498540984.

The spelling of 257441345 in words is "two hundred fifty-seven million, four hundred forty-one thousand, three hundred forty-five".