1829513952 has 576 divisors, whose sum is σ = 6824563200. Its totient is φ = 470292480.

The previous prime is 1829513947. The next prime is 1829513953. The reversal of 1829513952 is 2593159281.

1829513952 is a `hidden beast` number, since 1 + 82 + 9 + 513 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1829513898 and 1829513907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1829513953) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 29992002 + ... + 29992062.

It is an arithmetic number, because the mean of its divisors is an integer number (11848200).

Almost surely, 2^1829513952 is an apocalyptic number.

1829513952 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 1829513952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412281600).

1829513952 is an abundant number, since it is smaller than the sum of its proper divisors (4995049248).

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

1829513952 is a wasteful number, since it uses less digits than its factorization.

1829513952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 1829513952 is about 42772.8179104440. The cubic root of 1829513952 is about 1223.0529005660.

The spelling of 1829513952 in words is "one billion, eight hundred twenty-nine million, five hundred thirteen thousand, nine hundred fifty-two".