268746513 has 48 divisors (see below), whose sum is σ = 439323648. Its totient is φ = 142876800.

The previous prime is 268746497. The next prime is 268746521. The reversal of 268746513 is 315647862.

It is not a de Polignac number, because 268746513 - 2⁴ = 268746497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268746553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811758 + ... + 812088.

It is an arithmetic number, because the mean of its divisors is an integer number (9152576).

Almost surely, 2^268746513 is an apocalyptic number.

268746513 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

268746513 is a deficient number, since it is larger than the sum of its proper divisors (170577135).

268746513 is a wasteful number, since it uses less digits than its factorization.

268746513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 405 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 268746513 is about 16393.4899579071. The cubic root of 268746513 is about 645.3286492915.

The spelling of 268746513 in words is "two hundred sixty-eight million, seven hundred forty-six thousand, five hundred thirteen".