Search a number
-
+
505029687731 is a prime number
BaseRepresentation
bin1110101100101100001…
…11010111100110110011
31210021120101110022201022
413112112013113212303
531233300100001411
61024001334530055
751326051342102
oct7262607274663
91707511408638
10505029687731
11185200102318
1281a6550692b
13388161a246a
141a62d212039
15d20c4a0edb
hex75961d79b3

505029687731 has 2 divisors, whose sum is σ = 505029687732. Its totient is φ = 505029687730.

The previous prime is 505029687727. The next prime is 505029687733. The reversal of 505029687731 is 137786920505.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 505029687731 - 22 = 505029687727 is a prime.

It is a super-2 number, since 2×5050296877312 (a number of 24 digits) contains 22 as substring.

Together with 505029687733, 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 (505029687733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252514843865 + 252514843866.

It is an arithmetic number, because the mean of its divisors is an integer number (252514843866).

Almost surely, 2505029687731 is an apocalyptic number.

505029687731 is a deficient number, since it is larger than the sum of its proper divisors (1).

505029687731 is an equidigital number, since it uses as much as digits as its factorization.

505029687731 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3175200, while the sum is 53.

The spelling of 505029687731 in words is "five hundred five billion, twenty-nine million, six hundred eighty-seven thousand, seven hundred thirty-one".