257114361 has 8 divisors (see below), whose sum is σ = 391793344. Its totient is φ = 146922480.

The previous prime is 257114357. The next prime is 257114399. The reversal of 257114361 is 163411752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257114361 - 2² = 257114357 is a prime.

It is a super-2 number, since 2×257114361² = 132215589264876642, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257113361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6121750 + ... + 6121791.

It is an arithmetic number, because the mean of its divisors is an integer number (48974168).

Almost surely, 2^257114361 is an apocalyptic number.

257114361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

257114361 is a deficient number, since it is larger than the sum of its proper divisors (134678983).

257114361 is a wasteful number, since it uses less digits than its factorization.

257114361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12243551.

The product of its digits is 5040, while the sum is 30.

The square root of 257114361 is about 16034.7859667661. The cubic root of 257114361 is about 635.8804089645.

The spelling of 257114361 in words is "two hundred fifty-seven million, one hundred fourteen thousand, three hundred sixty-one".