1968633513 has 24 divisors (see below), whose sum is σ = 3545246016. Its totient is φ = 1022666400.

The previous prime is 1968633497. The next prime is 1968633533. The reversal of 1968633513 is 3153368691.

1968633513 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 633 + 5 + 1 + 3 = 666.

It is not a de Polignac number, because 1968633513 - 2⁴ = 1968633497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1968633533) 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 23 ways as a sum of consecutive naturals, for example, 1419678 + ... + 1421063.

It is an arithmetic number, because the mean of its divisors is an integer number (147718584).

Almost surely, 2^1968633513 is an apocalyptic number.

It is an amenable number.

1968633513 is a deficient number, since it is larger than the sum of its proper divisors (1576612503).

1968633513 is a wasteful number, since it uses less digits than its factorization.

1968633513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840765 (or 2840762 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 1968633513 is about 44369.2856940474. The cubic root of 1968633513 is about 1253.2997643526.

The spelling of 1968633513 in words is "one billion, nine hundred sixty-eight million, six hundred thirty-three thousand, five hundred thirteen".