257825253 has 8 divisors (see below), whose sum is σ = 392876608. Its totient is φ = 147328704.

The previous prime is 257825251. The next prime is 257825273. The reversal of 257825253 is 352528752.

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

It is not a de Polignac number, because 257825253 - 2¹ = 257825251 is a prime.

It is a super-2 number, since 2×257825253² = 132947722169028018, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257825251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6138676 + ... + 6138717.

It is an arithmetic number, because the mean of its divisors is an integer number (49109576).

Almost surely, 2^257825253 is an apocalyptic number.

It is an amenable number.

257825253 is a deficient number, since it is larger than the sum of its proper divisors (135051355).

257825253 is a wasteful number, since it uses less digits than its factorization.

257825253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12277403.

The product of its digits is 168000, while the sum is 39.

The square root of 257825253 is about 16056.9378463018. The cubic root of 257825253 is about 636.4659153743.

The spelling of 257825253 in words is "two hundred fifty-seven million, eight hundred twenty-five thousand, two hundred fifty-three".