52281000 has 192 divisors, whose sum is σ = 182641680. Its totient is φ = 13478400.

The previous prime is 52280993. The next prime is 52281007. The reversal of 52281000 is 18225.

It is an interprime number because it is at equal distance from previous prime (52280993) and next prime (52281007).

It can be written as a sum of positive squares in 8 ways, for example, as 4588164 + 47692836 = 2142^2 + 6906^2 .

It is a super-2 number, since 2×52281000² = 5466605922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (52281007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332922 + ... + 333078.

Almost surely, 2^52281000 is an apocalyptic number.

52281000 is a gapful number since it is divisible by the number (50) 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 52281000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91320840).

52281000 is an abundant number, since it is smaller than the sum of its proper divisors (130360680).

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

52281000 is a wasteful number, since it uses less digits than its factorization.

52281000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 52281000 is about 7230.5601442765. The cubic root of 52281000 is about 373.9222387828.

Adding to 52281000 its reverse (18225), we get a palindrome (52299225).

The spelling of 52281000 in words is "fifty-two million, two hundred eighty-one thousand".