257137441 has 8 divisors (see below), whose sum is σ = 280633824. Its totient is φ = 233661120.

The previous prime is 257137429. The next prime is 257137481. The reversal of 257137441 is 144731752.

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

It is not a de Polignac number, because 257137441 - 2⁵ = 257137409 is a prime.

It is a super-2 number, since 2×257137441² = 132239327128056962, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257137397 and 257137406.

It is not an unprimeable number, because it can be changed into a prime (257137421) 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, 37506 + ... + 43828.

It is an arithmetic number, because the mean of its divisors is an integer number (35079228).

Almost surely, 2^257137441 is an apocalyptic number.

It is an amenable number.

257137441 is a deficient number, since it is larger than the sum of its proper divisors (23496383).

257137441 is a wasteful number, since it uses less digits than its factorization.

257137441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10031.

The product of its digits is 23520, while the sum is 34.

The square root of 257137441 is about 16035.5056359318. The cubic root of 257137441 is about 635.8994351035.

The spelling of 257137441 in words is "two hundred fifty-seven million, one hundred thirty-seven thousand, four hundred forty-one".