2523331313 has 2 divisors, whose sum is σ = 2523331314. Its totient is φ = 2523331312.

The previous prime is 2523331259. The next prime is 2523331331. The reversal of 2523331313 is 3131333252.

Together with next prime (2523331331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2409631744 + 113699569 = 49088^2 + 10663^2 .

It is a cyclic number.

It is not a de Polignac number, because 2523331313 - 2⁶ = 2523331249 is a prime.

It is not a weakly prime, because it can be changed into another prime (2523331813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1261665656 + 1261665657.

It is an arithmetic number, because the mean of its divisors is an integer number (1261665657).

Almost surely, 2^2523331313 is an apocalyptic number.

It is an amenable number.

2523331313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2523331313 is an equidigital number, since it uses as much as digits as its factorization.

2523331313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4860, while the sum is 26.

The square root of 2523331313 is about 50232.7713051948. The cubic root of 2523331313 is about 1361.4178036095.

Adding to 2523331313 its reverse (3131333252), we get a palindrome (5654664565).

The spelling of 2523331313 in words is "two billion, five hundred twenty-three million, three hundred thirty-one thousand, three hundred thirteen".