1813638541 has 12 divisors (see below), whose sum is σ = 2142417600. Its totient is φ = 1521932880.

The previous prime is 1813638487. The next prime is 1813638553. The reversal of 1813638541 is 1458363181.

It is a happy number.

It is not a de Polignac number, because 1813638541 - 2²⁵ = 1780084109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1813638494 and 1813638503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813638341) 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 11 ways as a sum of consecutive naturals, for example, 485941 + ... + 489658.

It is an arithmetic number, because the mean of its divisors is an integer number (178534800).

Almost surely, 2^1813638541 is an apocalyptic number.

1813638541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1813638541 is a deficient number, since it is larger than the sum of its proper divisors (328779059).

1813638541 is a wasteful number, since it uses less digits than its factorization.

1813638541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975636 (or 975623 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 1813638541 is about 42586.8353015342. The cubic root of 1813638541 is about 1219.5049816948.

The spelling of 1813638541 in words is "one billion, eight hundred thirteen million, six hundred thirty-eight thousand, five hundred forty-one".