2765820313 has 2 divisors, whose sum is σ = 2765820314. Its totient is φ = 2765820312.

The previous prime is 2765820307. The next prime is 2765820319. The reversal of 2765820313 is 3130285672.

2765820313 = 37187² + 37188².

It is a balanced prime because it is at equal distance from previous prime (2765820307) and next prime (2765820319).

It can be written as a sum of positive squares in only one way, i.e., 1382947344 + 1382872969 = 37188^2 + 37187^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2765820313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2765820319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1382910156 + 1382910157.

It is an arithmetic number, because the mean of its divisors is an integer number (1382910157).

Almost surely, 2^2765820313 is an apocalyptic number.

2765820313 is the 37188-th centered square number.

It is an amenable number.

2765820313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2765820313 is an equidigital number, since it uses as much as digits as its factorization.

2765820313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2765820313 is about 52591.0668555031. The cubic root of 2765820313 is about 1403.7011443416.

The spelling of 2765820313 in words is "two billion, seven hundred sixty-five million, eight hundred twenty thousand, three hundred thirteen".