2505512313 has 18 divisors (see below), whose sum is σ = 3719548014. Its totient is φ = 1625189184.

The previous prime is 2505512299. The next prime is 2505512327. The reversal of 2505512313 is 3132155052.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2505512299) and next prime (2505512327).

It can be written as a sum of positive squares in 3 ways, for example, as 679488489 + 1826023824 = 26067^2 + 42732^2 .

It is not a de Polignac number, because 2505512313 - 2⁶ = 2505512249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2505512363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 89356 + ... + 113997.

Almost surely, 2^2505512313 is an apocalyptic number.

It is an amenable number.

2505512313 is a deficient number, since it is larger than the sum of its proper divisors (1214035701).

2505512313 is a wasteful number, since it uses less digits than its factorization.

2505512313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203433 (or 203393 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 2505512313 is about 50055.0927778583. The cubic root of 2505512313 is about 1358.2055906802.

Adding to 2505512313 its reverse (3132155052), we get a palindrome (5637667365).

The spelling of 2505512313 in words is "two billion, five hundred five million, five hundred twelve thousand, three hundred thirteen".