Search a number
-
+
506723891 is a prime number
BaseRepresentation
bin11110001100111…
…111111000110011
31022022111020111112
4132030333320303
52014210131031
6122140503535
715362040062
oct3614777063
91268436445
10506723891
1124003a183
1212184abab
1380c9a72b
144b4261d9
152e74562b
hex1e33fe33

506723891 has 2 divisors, whose sum is σ = 506723892. Its totient is φ = 506723890.

The previous prime is 506723839. The next prime is 506723897. The reversal of 506723891 is 198327605.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 506723891 - 26 = 506723827 is a prime.

It is a super-3 number, since 3×5067238913 (a number of 27 digits) contains 333 as substring.

It is a Chen prime.

It is a zygodrome in base 2.

It is not a weakly prime, because it can be changed into another prime (506723897) 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, 253361945 + 253361946.

It is an arithmetic number, because the mean of its divisors is an integer number (253361946).

Almost surely, 2506723891 is an apocalyptic number.

506723891 is a deficient number, since it is larger than the sum of its proper divisors (1).

506723891 is an equidigital number, since it uses as much as digits as its factorization.

506723891 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 506723891 is about 22510.5284478175. The cubic root of 506723891 is about 797.2425329520.

The spelling of 506723891 in words is "five hundred six million, seven hundred twenty-three thousand, eight hundred ninety-one".