257680753 has 24 divisors (see below), whose sum is σ = 301299264. Its totient is φ = 219716640.

The previous prime is 257680751. The next prime is 257680763. The reversal of 257680753 is 357086752.

It is not a de Polignac number, because 257680753 - 2¹ = 257680751 is a prime.

It is a super-3 number, since 3×257680753³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (257680751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146626 + ... + 148372.

It is an arithmetic number, because the mean of its divisors is an integer number (12554136).

Almost surely, 2^257680753 is an apocalyptic number.

257680753 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

257680753 is a deficient number, since it is larger than the sum of its proper divisors (43618511).

257680753 is a wasteful number, since it uses less digits than its factorization.

257680753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The square root of 257680753 is about 16052.4376030558. The cubic root of 257680753 is about 636.3469892015.

The spelling of 257680753 in words is "two hundred fifty-seven million, six hundred eighty thousand, seven hundred fifty-three".