Search a number
-
+
993331722553 is a prime number
BaseRepresentation
bin11100111010001110010…
…11110011100100111001
310111221221222212211111021
432131013023303210321
5112233320410110203
62040155202102441
7131523454220632
oct16350713634471
93457858784437
10993331722553
113532a69523a5
1214062094aa21
1372894919741
143611299a889
151ac8b1255bd
hexe7472f3939

993331722553 has 2 divisors, whose sum is σ = 993331722554. Its totient is φ = 993331722552.

The previous prime is 993331722533. The next prime is 993331722589. The reversal of 993331722553 is 355227133399.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 897248461824 + 96083260729 = 947232^2 + 309973^2 .

It is a cyclic number.

It is not a de Polignac number, because 993331722553 - 29 = 993331722041 is a prime.

It is a super-2 number, since 2×9933317225532 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 993331722553.

It is not a weakly prime, because it can be changed into another prime (993331722533) 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, 496665861276 + 496665861277.

It is an arithmetic number, because the mean of its divisors is an integer number (496665861277).

Almost surely, 2993331722553 is an apocalyptic number.

It is an amenable number.

993331722553 is a deficient number, since it is larger than the sum of its proper divisors (1).

993331722553 is an equidigital number, since it uses as much as digits as its factorization.

993331722553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4592700, while the sum is 52.

The spelling of 993331722553 in words is "nine hundred ninety-three billion, three hundred thirty-one million, seven hundred twenty-two thousand, five hundred fifty-three".