2735593013 has 2 divisors, whose sum is σ = 2735593014. Its totient is φ = 2735593012.

The previous prime is 2735592991. The next prime is 2735593019. The reversal of 2735593013 is 3103955372.

2735593013 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., 1483636324 + 1251956689 = 38518^2 + 35383^2 .

It is a cyclic number.

It is not a de Polignac number, because 2735593013 - 2⁶ = 2735592949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2735593019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1367796506 + 1367796507.

It is an arithmetic number, because the mean of its divisors is an integer number (1367796507).

Almost surely, 2^2735593013 is an apocalyptic number.

It is an amenable number.

2735593013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2735593013 is an equidigital number, since it uses as much as digits as its factorization.

2735593013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 85050, while the sum is 38.

The square root of 2735593013 is about 52302.8967935811. The cubic root of 2735593013 is about 1398.5687776637.

The spelling of 2735593013 in words is "two billion, seven hundred thirty-five million, five hundred ninety-three thousand, thirteen".