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767631013 is a prime number
BaseRepresentation
bin101101110000010…
…001111010100101
31222111102200210021
4231300101322211
53033003143023
6204100555141
725010520202
oct5560217245
91874380707
10767631013
113643425a6
121950b2ab1
13c305b846
1473d40ca9
15475d135d
hex2dc11ea5

767631013 has 2 divisors, whose sum is σ = 767631014. Its totient is φ = 767631012.

The previous prime is 767631001. The next prime is 767631047. The reversal of 767631013 is 310136767.

It is a happy number.

767631013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (767631047) can be obtained adding 767631013 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., 725925249 + 41705764 = 26943^2 + 6458^2 .

It is an emirp because it is prime and its reverse (310136767) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-767631013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 767631013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (767631113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 383815506 + 383815507.

It is an arithmetic number, because the mean of its divisors is an integer number (383815507).

Almost surely, 2767631013 is an apocalyptic number.

It is an amenable number.

767631013 is a deficient number, since it is larger than the sum of its proper divisors (1).

767631013 is an equidigital number, since it uses as much as digits as its factorization.

767631013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 767631013 is about 27706.1547855346. The cubic root of 767631013 is about 915.6247092033.

The spelling of 767631013 in words is "seven hundred sixty-seven million, six hundred thirty-one thousand, thirteen".