281148252 has 96 divisors (see below), whose sum is σ = 833462784. Its totient is φ = 71635200.

The previous prime is 281148229. The next prime is 281148271. The reversal of 281148252 is 252841182.

It is a super-3 number, since 3×281148252³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46102 + ... + 51842.

It is an arithmetic number, because the mean of its divisors is an integer number (8681904).

Almost surely, 2^281148252 is an apocalyptic number.

281148252 is a gapful number since it is divisible by the number (22) 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 281148252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416731392).

281148252 is an abundant number, since it is smaller than the sum of its proper divisors (552314532).

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

281148252 is a wasteful number, since it uses less digits than its factorization.

281148252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819 (or 5817 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 281148252 is about 16767.4760175764. The cubic root of 281148252 is about 655.1063300758.

The spelling of 281148252 in words is "two hundred eighty-one million, one hundred forty-eight thousand, two hundred fifty-two".