Search a number
-
+
13752767921 is a prime number
BaseRepresentation
bin11001100111011101…
…01001010110110001
31022111110020222220212
430303232221112301
5211131202033141
610152401313505
7664543412204
oct146356512661
938443228825
1013752767921
115918096102
1227b9935895
1313b23282c9
1494671b93b
155575992eb
hex333ba95b1

13752767921 has 2 divisors, whose sum is σ = 13752767922. Its totient is φ = 13752767920.

The previous prime is 13752767893. The next prime is 13752767923. The reversal of 13752767921 is 12976725731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12909504400 + 843263521 = 113620^2 + 29039^2 .

It is a cyclic number.

It is not a de Polignac number, because 13752767921 - 218 = 13752505777 is a prime.

It is a Sophie Germain prime.

Together with 13752767923, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13752767921.

It is not a weakly prime, because it can be changed into another prime (13752767923) 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, 6876383960 + 6876383961.

It is an arithmetic number, because the mean of its divisors is an integer number (6876383961).

Almost surely, 213752767921 is an apocalyptic number.

It is an amenable number.

13752767921 is a deficient number, since it is larger than the sum of its proper divisors (1).

13752767921 is an equidigital number, since it uses as much as digits as its factorization.

13752767921 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1111320, while the sum is 50.

The spelling of 13752767921 in words is "thirteen billion, seven hundred fifty-two million, seven hundred sixty-seven thousand, nine hundred twenty-one".