1829565252 has 48 divisors (see below), whose sum is σ = 4992971200. Its totient is φ = 577756800.

The previous prime is 1829565251. The next prime is 1829565281. The reversal of 1829565252 is 2525659281.

1829565252 is a `hidden beast` number, since 1 + 82 + 9 + 565 + 2 + 5 + 2 = 666.

It is a super-2 number, since 2×1829565252² = 6694618022651647008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1829565198 and 1829565207.

It is not an unprimeable number, because it can be changed into a prime (1829565251) 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, 443749 + ... + 447852.

Almost surely, 2^1829565252 is an apocalyptic number.

1829565252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1829565252 is an abundant number, since it is smaller than the sum of its proper divisors (3163405948).

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

1829565252 is a wasteful number, since it uses less digits than its factorization.

1829565252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891633 (or 891625 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 1829565252 is about 42773.4175861597. The cubic root of 1829565252 is about 1223.0643320225.

The spelling of 1829565252 in words is "one billion, eight hundred twenty-nine million, five hundred sixty-five thousand, two hundred fifty-two".