Search a number
-
+
253513682384719 is a prime number
BaseRepresentation
bin111001101001000111000000…
…111110111111011101001111
31020020121200010102002110201111
4321221013000332333131033
5231212032010142302334
62255102324454352451
7104253521244364021
oct7151070076773517
91206550112073644
10253513682384719
1173860604688779
122452479735b727
13ab5c312213a43
1446861b0584011
151e4971536b064
hexe691c0fbf74f

253513682384719 has 2 divisors, whose sum is σ = 253513682384720. Its totient is φ = 253513682384718.

The previous prime is 253513682384701. The next prime is 253513682384741. The reversal of 253513682384719 is 917483286315352.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 253513682384719 - 223 = 253513673996111 is a prime.

It is a super-2 number, since 2×2535136823847192 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253513682384819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126756841192359 + 126756841192360.

It is an arithmetic number, because the mean of its divisors is an integer number (126756841192360).

Almost surely, 2253513682384719 is an apocalyptic number.

253513682384719 is a deficient number, since it is larger than the sum of its proper divisors (1).

253513682384719 is an equidigital number, since it uses as much as digits as its factorization.

253513682384719 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 261273600, while the sum is 67.

The spelling of 253513682384719 in words is "two hundred fifty-three trillion, five hundred thirteen billion, six hundred eighty-two million, three hundred eighty-four thousand, seven hundred nineteen".