Search a number
-
+
993097355753 is a prime number
BaseRepresentation
bin11100111001110010011…
…01110001000111101001
310111221100122212202200102
432130321031301013221
5112232330410341003
62040120030515145
7131514610146536
oct16347115610751
93457318782612
10993097355753
11353196627128
12140576365ab5
13728581bb969
14360cd7cdd8d
151ac7577d588
hexe7393711e9

993097355753 has 2 divisors, whose sum is σ = 993097355754. Its totient is φ = 993097355752.

The previous prime is 993097355743. The next prime is 993097355773. The reversal of 993097355753 is 357553790399.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 921932189929 + 71165165824 = 960173^2 + 266768^2 .

It is a cyclic number.

It is not a de Polignac number, because 993097355753 - 24 = 993097355737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 993097355753.

It is not a weakly prime, because it can be changed into another prime (993097355743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496548677876 + 496548677877.

It is an arithmetic number, because the mean of its divisors is an integer number (496548677877).

Almost surely, 2993097355753 is an apocalyptic number.

It is an amenable number.

993097355753 is a deficient number, since it is larger than the sum of its proper divisors (1).

993097355753 is an equidigital number, since it uses as much as digits as its factorization.

993097355753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120558375, while the sum is 65.

The spelling of 993097355753 in words is "nine hundred ninety-three billion, ninety-seven million, three hundred fifty-five thousand, seven hundred fifty-three".