Search a number
-
+
506878313 is a prime number
BaseRepresentation
bin11110001101100…
…101100101101001
31022022210002022212
4132031211211221
52014230101223
6122144054505
715363252224
oct3615454551
91268702285
10506878313
112401351a7
12121904435
1381022ac6
144b4665bb
152e776278
hex1e365969

506878313 has 2 divisors, whose sum is σ = 506878314. Its totient is φ = 506878312.

The previous prime is 506878291. The next prime is 506878319. The reversal of 506878313 is 313878605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 420537049 + 86341264 = 20507^2 + 9292^2 .

It is a cyclic number.

It is not a de Polignac number, because 506878313 - 216 = 506812777 is a prime.

It is not a weakly prime, because it can be changed into another prime (506878319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253439156 + 253439157.

It is an arithmetic number, because the mean of its divisors is an integer number (253439157).

Almost surely, 2506878313 is an apocalyptic number.

It is an amenable number.

506878313 is a deficient number, since it is larger than the sum of its proper divisors (1).

506878313 is an equidigital number, since it uses as much as digits as its factorization.

506878313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 506878313 is about 22513.9581815371. The cubic root of 506878313 is about 797.3235101764.

The spelling of 506878313 in words is "five hundred six million, eight hundred seventy-eight thousand, three hundred thirteen".