1005013552 has 80 divisors (see below), whose sum is σ = 2081295360. Its totient is φ = 469382400.

The previous prime is 1005013547. The next prime is 1005013553. The reversal of 1005013552 is 2553105001.

It is not an unprimeable number, because it can be changed into a prime (1005013553) 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, 1784823 + ... + 1785385.

It is an arithmetic number, because the mean of its divisors is an integer number (26016192).

Almost surely, 2^1005013552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005013552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040647680).

1005013552 is an abundant number, since it is smaller than the sum of its proper divisors (1076281808).

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

1005013552 is a wasteful number, since it uses less digits than its factorization.

1005013552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 1005013552 is about 31701.9487098191. The cubic root of 1005013552 is about 1001.6683988971.

Adding to 1005013552 its reverse (2553105001), we get a palindrome (3558118553).

The spelling of 1005013552 in words is "one billion, five million, thirteen thousand, five hundred fifty-two".