257481653 has 16 divisors (see below), whose sum is σ = 305289600. Its totient is φ = 214073280.

The previous prime is 257481647. The next prime is 257481659. The reversal of 257481653 is 356184752.

It is an interprime number because it is at equal distance from previous prime (257481647) and next prime (257481659).

It is a cyclic number.

It is not a de Polignac number, because 257481653 - 2⁶ = 257481589 is a prime.

It is a super-2 number, since 2×257481653² = 132593603263224818, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257481653.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257481659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7328 + ... + 23846.

It is an arithmetic number, because the mean of its divisors is an integer number (19080600).

Almost surely, 2^257481653 is an apocalyptic number.

It is an amenable number.

257481653 is a deficient number, since it is larger than the sum of its proper divisors (47807947).

257481653 is a wasteful number, since it uses less digits than its factorization.

257481653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16652.

The product of its digits is 201600, while the sum is 41.

The square root of 257481653 is about 16046.2348543202. The cubic root of 257481653 is about 636.1830533632.

The spelling of 257481653 in words is "two hundred fifty-seven million, four hundred eighty-one thousand, six hundred fifty-three".