1005413652 has 72 divisors (see below), whose sum is σ = 2680510560. Its totient is φ = 316872000.

The previous prime is 1005413627. The next prime is 1005413663. The reversal of 1005413652 is 2563145001.

1005413652 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 4 + 1 + 3 + 652 = 666.

It is a super-2 number, since 2×1005413652² = 2021713223255954208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445527 + ... + 447777.

Almost surely, 2^1005413652 is an apocalyptic number.

1005413652 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 1005413652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340255280).

1005413652 is an abundant number, since it is smaller than the sum of its proper divisors (1675096908).

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

1005413652 is a wasteful number, since it uses less digits than its factorization.

1005413652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1005413652 is about 31708.2584195348. The cubic root of 1005413652 is about 1001.8013040223.

Adding to 1005413652 its reverse (2563145001), we get a palindrome (3568558653).

The spelling of 1005413652 in words is "one billion, five million, four hundred thirteen thousand, six hundred fifty-two".