1813213584 has 120 divisors (see below), whose sum is σ = 6245558592. Its totient is φ = 478206720.

The previous prime is 1813213559. The next prime is 1813213607. The reversal of 1813213584 is 4853123181.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56082 + ... + 82289.

Almost surely, 2^1813213584 is an apocalyptic number.

1813213584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1813213584 is an abundant number, since it is smaller than the sum of its proper divisors (4432345008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1813213584 is a wasteful number, since it uses less digits than its factorization.

1813213584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138405 (or 138396 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1813213584 is about 42581.8457091752. The cubic root of 1813213584 is about 1219.4097260988.

The spelling of 1813213584 in words is "one billion, eight hundred thirteen million, two hundred thirteen thousand, five hundred eighty-four".