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2753405813 is a prime number
BaseRepresentation
bin1010010000011101…
…1010001101110101
321002220000111201002
42210013122031311
521114332441223
61133115013045
7125142364124
oct24407321565
97086014632
102753405813
1111932535a4
1264a13a185
1334b595112
141c1975abb
15111ad3e28
hexa41da375

2753405813 has 2 divisors, whose sum is σ = 2753405814. Its totient is φ = 2753405812.

The previous prime is 2753405779. The next prime is 2753405821. The reversal of 2753405813 is 3185043572.

2753405813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1823033809 + 930372004 = 42697^2 + 30502^2 .

It is a cyclic number.

It is not a de Polignac number, because 2753405813 - 26 = 2753405749 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2753405873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1376702906 + 1376702907.

It is an arithmetic number, because the mean of its divisors is an integer number (1376702907).

Almost surely, 22753405813 is an apocalyptic number.

It is an amenable number.

2753405813 is a deficient number, since it is larger than the sum of its proper divisors (1).

2753405813 is an equidigital number, since it uses as much as digits as its factorization.

2753405813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 2753405813 is about 52472.9055132265. The cubic root of 2753405813 is about 1401.5978038125.

The spelling of 2753405813 in words is "two billion, seven hundred fifty-three million, four hundred five thousand, eight hundred thirteen".