2013513077 has 2 divisors, whose sum is σ = 2013513078. Its totient is φ = 2013513076.

The previous prime is 2013513043. The next prime is 2013513107. The reversal of 2013513077 is 7703153102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1931954116 + 81558961 = 43954^2 + 9031^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013513077 - 2²⁰ = 2012464501 is a prime.

It is a super-2 number, since 2×2013513077² = 8108469822500015858, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013510077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006756538 + 1006756539.

It is an arithmetic number, because the mean of its divisors is an integer number (1006756539).

Almost surely, 2^2013513077 is an apocalyptic number.

It is an amenable number.

2013513077 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013513077 is an equidigital number, since it uses as much as digits as its factorization.

2013513077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 2013513077 is about 44872.1860064784. The cubic root of 2013513077 is about 1262.7522514226.

Adding to 2013513077 its reverse (7703153102), we get a palindrome (9716666179).

The spelling of 2013513077 in words is "two billion, thirteen million, five hundred thirteen thousand, seventy-seven".