Search a number
-
+
655593137 is a prime number
BaseRepresentation
bin100111000100111…
…000111010110001
31200200121120201022
4213010320322301
52320312440022
6145015345225
722150310153
oct4704707261
91620546638
10655593137
11307079911
12163682215
13a5a91a44
14630d8ad3
153c84ec42
hex27138eb1

655593137 has 2 divisors, whose sum is σ = 655593138. Its totient is φ = 655593136.

The previous prime is 655593131. The next prime is 655593139. The reversal of 655593137 is 731395556.

655593137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 612612001 + 42981136 = 24751^2 + 6556^2 .

It is a cyclic number.

It is not a de Polignac number, because 655593137 - 224 = 638815921 is a prime.

It is a super-2 number, since 2×6555931372 = 859604722563001538, which contains 22 as substring.

Together with 655593139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (655593131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 327796568 + 327796569.

It is an arithmetic number, because the mean of its divisors is an integer number (327796569).

Almost surely, 2655593137 is an apocalyptic number.

It is an amenable number.

655593137 is a deficient number, since it is larger than the sum of its proper divisors (1).

655593137 is an equidigital number, since it uses as much as digits as its factorization.

655593137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 425250, while the sum is 44.

The square root of 655593137 is about 25604.5530521429. The cubic root of 655593137 is about 868.7166249656.

The spelling of 655593137 in words is "six hundred fifty-five million, five hundred ninety-three thousand, one hundred thirty-seven".