257089149 has 12 divisors (see below), whose sum is σ = 371498400. Its totient is φ = 171324744.

The previous prime is 257089111. The next prime is 257089159. The reversal of 257089149 is 941980752.

It is a de Polignac number, because none of the positive numbers 2^k-257089149 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257089159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30232 + ... + 37790.

It is an arithmetic number, because the mean of its divisors is an integer number (30958200).

Almost surely, 2^257089149 is an apocalyptic number.

It is an amenable number.

257089149 is a deficient number, since it is larger than the sum of its proper divisors (114409251).

257089149 is a wasteful number, since it uses less digits than its factorization.

257089149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11344 (or 11341 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 257089149 is about 16033.9997817139. Note that the first 3 decimals coincide. The cubic root of 257089149 is about 635.8596239970.

It can be divided in two parts, 2570 and 89149, that added together give a palindrome (91719).

The spelling of 257089149 in words is "two hundred fifty-seven million, eighty-nine thousand, one hundred forty-nine".