2509624313 has 8 divisors (see below), whose sum is σ = 2960663040. Its totient is φ = 2081715840.

The previous prime is 2509624279. The next prime is 2509624333. The reversal of 2509624313 is 3134269052.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2509624313 - 2⁸ = 2509624057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2509624333) 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 in 7 ways as a sum of consecutive naturals, for example, 5782328 + ... + 5782761.

It is an arithmetic number, because the mean of its divisors is an integer number (370082880).

Almost surely, 2^2509624313 is an apocalyptic number.

It is an amenable number.

2509624313 is a deficient number, since it is larger than the sum of its proper divisors (451038727).

2509624313 is a wasteful number, since it uses less digits than its factorization.

2509624313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11565127.

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 2509624313 is about 50096.1506804665. The cubic root of 2509624313 is about 1358.9482051204.

The spelling of 2509624313 in words is "two billion, five hundred nine million, six hundred twenty-four thousand, three hundred thirteen".