257980513 has 8 divisors (see below), whose sum is σ = 295159680. Its totient is φ = 220882560.

The previous prime is 257980507. The next prime is 257980553. The reversal of 257980513 is 315089752.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257980513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257980553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13333 + ... + 26338.

It is an arithmetic number, because the mean of its divisors is an integer number (36894960).

Almost surely, 2^257980513 is an apocalyptic number.

It is an amenable number.

257980513 is a deficient number, since it is larger than the sum of its proper divisors (37179167).

257980513 is an equidigital number, since it uses as much as digits as its factorization.

257980513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40607.

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 257980513 is about 16061.7717889403. The cubic root of 257980513 is about 636.5936477147.

The spelling of 257980513 in words is "two hundred fifty-seven million, nine hundred eighty thousand, five hundred thirteen".