268128313 has 2 divisors, whose sum is σ = 268128314. Its totient is φ = 268128312.

The previous prime is 268128299. The next prime is 268128347. The reversal of 268128313 is 313821862.

It is a happy number.

It is an a-pointer prime, because the next prime (268128347) can be obtained adding 268128313 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198021184 + 70107129 = 14072^2 + 8373^2 .

It is a cyclic number.

It is not a de Polignac number, because 268128313 - 2¹³ = 268120121 is a prime.

It is not a weakly prime, because it can be changed into another prime (268128383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134064156 + 134064157.

It is an arithmetic number, because the mean of its divisors is an integer number (134064157).

Almost surely, 2^268128313 is an apocalyptic number.

It is an amenable number.

268128313 is a deficient number, since it is larger than the sum of its proper divisors (1).

268128313 is an equidigital number, since it uses as much as digits as its factorization.

268128313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 34.

The square root of 268128313 is about 16374.6240567532. The cubic root of 268128313 is about 644.8334509789.

The spelling of 268128313 in words is "two hundred sixty-eight million, one hundred twenty-eight thousand, three hundred thirteen".