2513788749 has 80 divisors (see below), whose sum is σ = 4215214080. Its totient is φ = 1485332640.

The previous prime is 2513788741. The next prime is 2513788813. The reversal of 2513788749 is 9478873152.

It is a happy number.

2513788749 is a `hidden beast` number, since 2 + 513 + 7 + 8 + 87 + 49 = 666.

It is not a de Polignac number, because 2513788749 - 2³ = 2513788741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2513788695 and 2513788704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513788741) 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 79 ways as a sum of consecutive naturals, for example, 1662904 + ... + 1664414.

It is an arithmetic number, because the mean of its divisors is an integer number (52690176).

Almost surely, 2^2513788749 is an apocalyptic number.

It is an amenable number.

2513788749 is a deficient number, since it is larger than the sum of its proper divisors (1701425331).

2513788749 is a wasteful number, since it uses less digits than its factorization.

2513788749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1603 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 2513788749 is about 50137.6978829304. The cubic root of 2513788749 is about 1359.6994630391.

The spelling of 2513788749 in words is "two billion, five hundred thirteen million, seven hundred eighty-eight thousand, seven hundred forty-nine".