268201413 has 18 divisors (see below), whose sum is σ = 404985126. Its totient is φ = 171023952.

The previous prime is 268201403. The next prime is 268201421. The reversal of 268201413 is 314102862.

It can be written as a sum of positive squares in only one way, i.e., 150847524 + 117353889 = 12282^2 + 10833^2 .

It is not a de Polignac number, because 268201413 - 2¹⁰ = 268200389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268201403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23406 + ... + 32927.

Almost surely, 2^268201413 is an apocalyptic number.

268201413 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

268201413 is a deficient number, since it is larger than the sum of its proper divisors (136783713).

268201413 is a wasteful number, since it uses less digits than its factorization.

268201413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56385 (or 56359 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 268201413 is about 16376.8560169527. The cubic root of 268201413 is about 644.8920461116.

The spelling of 268201413 in words is "two hundred sixty-eight million, two hundred one thousand, four hundred thirteen".