1813735121 has 16 divisors (see below), whose sum is σ = 1995122880. Its totient is φ = 1635142080.

The previous prime is 1813735109. The next prime is 1813735159. The reversal of 1813735121 is 1215373181.

It is not a de Polignac number, because 1813735121 - 2⁶ = 1813735057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1813735171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1634915 + ... + 1636023.

It is an arithmetic number, because the mean of its divisors is an integer number (124695180).

Almost surely, 2^1813735121 is an apocalyptic number.

1813735121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1813735121 is a deficient number, since it is larger than the sum of its proper divisors (181387759).

1813735121 is a wasteful number, since it uses less digits than its factorization.

1813735121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224.

The product of its digits is 5040, while the sum is 32.

The square root of 1813735121 is about 42587.9692049292. The cubic root of 1813735121 is about 1219.5266283639.

The spelling of 1813735121 in words is "one billion, eight hundred thirteen million, seven hundred thirty-five thousand, one hundred twenty-one".