257049141 has 32 divisors (see below), whose sum is σ = 359399040. Its totient is φ = 163296000.

The previous prime is 257049103. The next prime is 257049161. The reversal of 257049141 is 141940752.

It is a happy number.

It is not a de Polignac number, because 257049141 - 2⁶ = 257049077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257049161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1420071 + ... + 1420251.

It is an arithmetic number, because the mean of its divisors is an integer number (11231220).

Almost surely, 2^257049141 is an apocalyptic number.

It is an amenable number.

257049141 is a deficient number, since it is larger than the sum of its proper divisors (102349899).

257049141 is a wasteful number, since it uses less digits than its factorization.

257049141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 257049141 is about 16032.7521343031. The cubic root of 257049141 is about 635.8266383035.

Adding to 257049141 its reverse (141940752), we get a palindrome (398989893).

The spelling of 257049141 in words is "two hundred fifty-seven million, forty-nine thousand, one hundred forty-one".