Search a number
-
+
506706373 is a prime number
BaseRepresentation
bin11110001100111…
…011100111000101
31022022110100110201
4132030323213011
52014204100443
6122140250501
715361635025
oct3614734705
91268410421
10506706373
11240027aa8
12121840a31
1380c92774
144b41da85
152e74034d
hex1e33b9c5

506706373 has 2 divisors, whose sum is σ = 506706374. Its totient is φ = 506706372.

The previous prime is 506706371. The next prime is 506706433. The reversal of 506706373 is 373607605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 326958724 + 179747649 = 18082^2 + 13407^2 .

It is a cyclic number.

It is not a de Polignac number, because 506706373 - 21 = 506706371 is a prime.

Together with 506706371, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506706371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253353186 + 253353187.

It is an arithmetic number, because the mean of its divisors is an integer number (253353187).

Almost surely, 2506706373 is an apocalyptic number.

It is an amenable number.

506706373 is a deficient number, since it is larger than the sum of its proper divisors (1).

506706373 is an equidigital number, since it uses as much as digits as its factorization.

506706373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79380, while the sum is 37.

The square root of 506706373 is about 22510.1393376407. The cubic root of 506706373 is about 797.2333456636.

The spelling of 506706373 in words is "five hundred six million, seven hundred six thousand, three hundred seventy-three".