2785513 has 2 divisors, whose sum is σ = 2785514. Its totient is φ = 2785512.

The previous prime is 2785511. The next prime is 2785577. The reversal of 2785513 is 3155872.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2647129 + 138384 = 1627^2 + 372^2 .

It is a cyclic number.

It is not a de Polignac number, because 2785513 - 2¹ = 2785511 is a prime.

Together with 2785511, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 2¹² + 7⁷ + 8⁴ + 5⁴ + 5⁹ + 1 + 3³ .

2785513 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2785511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1392756 + 1392757.

It is an arithmetic number, because the mean of its divisors is an integer number (1392757).

2^2785513 is an apocalyptic number.

It is an amenable number.

2785513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2785513 is an equidigital number, since it uses as much as digits as its factorization.

2785513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8400, while the sum is 31.

The square root of 2785513 is about 1668.9856200699. The cubic root of 2785513 is about 140.7024727350.

The spelling of 2785513 in words is "two million, seven hundred eighty-five thousand, five hundred thirteen".