1005354252 has 144 divisors (see below), whose sum is σ = 3069480960. Its totient is φ = 271345536.

The previous prime is 1005354241. The next prime is 1005354283. The reversal of 1005354252 is 2524535001.

It is a happy number.

1005354252 is a `hidden beast` number, since 100 + 535 + 4 + 25 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342013 + ... + 344939.

It is an arithmetic number, because the mean of its divisors is an integer number (21315840).

Almost surely, 2^1005354252 is an apocalyptic number.

1005354252 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 1005354252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534740480).

1005354252 is an abundant number, since it is smaller than the sum of its proper divisors (2064126708).

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

1005354252 is a wasteful number, since it uses less digits than its factorization.

1005354252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1005354252 is about 31707.3217412004. The cubic root of 1005354252 is about 1001.7815747731.

Adding to 1005354252 its reverse (2524535001), we get a palindrome (3529889253).

The spelling of 1005354252 in words is "one billion, five million, three hundred fifty-four thousand, two hundred fifty-two".