257315153 has 8 divisors (see below), whose sum is σ = 258634728. Its totient is φ = 255999744.

The previous prime is 257315129. The next prime is 257315167. The reversal of 257315153 is 351513752.

257315153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 150234049 + 107081104 = 12257^2 + 10348^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 257315153 - 2⁶ = 257315089 is a prime.

It is a super-2 number, since 2×257315153² = 132422175926826818, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257315453) 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, 234875 + ... + 235967.

It is an arithmetic number, because the mean of its divisors is an integer number (32329341).

Almost surely, 2^257315153 is an apocalyptic number.

It is an amenable number.

257315153 is a deficient number, since it is larger than the sum of its proper divisors (1319575).

257315153 is a wasteful number, since it uses less digits than its factorization.

257315153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083.

The product of its digits is 15750, while the sum is 32.

The square root of 257315153 is about 16041.0458823607. The cubic root of 257315153 is about 636.0458949582.

The spelling of 257315153 in words is "two hundred fifty-seven million, three hundred fifteen thousand, one hundred fifty-three".