257153 has 8 divisors (see below), whose sum is σ = 280896. Its totient is φ = 234000.

The previous prime is 257141. The next prime is 257161. The reversal of 257153 is 351752.

257153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 257153 - 2¹⁰ = 256129 is a prime.

It is a super-2 number, since 2×257153² = 132255330818, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257123) 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, 1628 + ... + 1778.

It is an arithmetic number, because the mean of its divisors is an integer number (35112).

2²⁵⁷¹⁵³ is an apocalyptic number.

It is an amenable number.

257153 is a deficient number, since it is larger than the sum of its proper divisors (23743).

257153 is a wasteful number, since it uses less digits than its factorization.

257153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295.

The product of its digits is 1050, while the sum is 23.

The square root of 257153 is about 507.1025537305. The cubic root of 257153 is about 63.5912260618.

The spelling of 257153 in words is "two hundred fifty-seven thousand, one hundred fifty-three".