1813781952 has 168 divisors, whose sum is σ = 5795010000. Its totient is φ = 539025408.

The previous prime is 1813781929. The next prime is 1813781993. The reversal of 1813781952 is 2591873181.

It is a junction number, because it is equal to n+sod(n) for n = 1813781898 and 1813781907.

It is a congruent number.

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, 181174 + ... + 190922.

Almost surely, 2^1813781952 is an apocalyptic number.

1813781952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1813781952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897505000).

1813781952 is an abundant number, since it is smaller than the sum of its proper divisors (3981228048).

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

1813781952 is a wasteful number, since it uses less digits than its factorization.

1813781952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9803 (or 9790 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 1813781952 is about 42588.5190162795. The cubic root of 1813781952 is about 1219.5371244133.

The spelling of 1813781952 in words is "one billion, eight hundred thirteen million, seven hundred eighty-one thousand, nine hundred fifty-two".