1831964013 has 64 divisors (see below), whose sum is σ = 3165143040. Its totient is φ = 1034899200.

The previous prime is 1831963999. The next prime is 1831964033. The reversal of 1831964013 is 3104691381.

1831964013 is a `hidden beast` number, since 1 + 8 + 3 + 1 + 9 + 640 + 1 + 3 = 666.

It is not a de Polignac number, because 1831964013 - 2⁴ = 1831963997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1831964033) 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 63 ways as a sum of consecutive naturals, for example, 538548 + ... + 541938.

It is an arithmetic number, because the mean of its divisors is an integer number (49455360).

Almost surely, 2^1831964013 is an apocalyptic number.

It is an amenable number.

1831964013 is a deficient number, since it is larger than the sum of its proper divisors (1333179027).

1831964013 is a wasteful number, since it uses less digits than its factorization.

1831964013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1831964013 is about 42801.4487254812. The cubic root of 1831964013 is about 1223.5986224785.

The spelling of 1831964013 in words is "one billion, eight hundred thirty-one million, nine hundred sixty-four thousand, thirteen".