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268077013 is a prime number
BaseRepresentation
bin11111111101010…
…00011111010101
3200200102201112021
433332220133111
51022111431023
642333453141
76433421431
oct1776503725
9620381467
10268077013
11128360256
12759411b1
1343701769
14278639c1
151880535d
hexffa87d5

268077013 has 2 divisors, whose sum is σ = 268077014. Its totient is φ = 268077012.

The previous prime is 268077001. The next prime is 268077031. The reversal of 268077013 is 310770862.

268077013 = 115772 + 115782.

Together with next prime (268077031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134050084 + 134026929 = 11578^2 + 11577^2 .

It is a cyclic number.

It is not a de Polignac number, because 268077013 - 25 = 268076981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 268077013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (268077053) 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 as a sum of consecutive naturals, namely, 134038506 + 134038507.

It is an arithmetic number, because the mean of its divisors is an integer number (134038507).

Almost surely, 2268077013 is an apocalyptic number.

268077013 is the 11578-th centered square number.

It is an amenable number.

268077013 is a deficient number, since it is larger than the sum of its proper divisors (1).

268077013 is an equidigital number, since it uses as much as digits as its factorization.

268077013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 268077013 is about 16373.0575336435. The cubic root of 268077013 is about 644.7923238215.

The spelling of 268077013 in words is "two hundred sixty-eight million, seventy-seven thousand, thirteen".