1006001441652 has 48 divisors (see below), whose sum is σ = 2408616967680. Its totient is φ = 326622938208.

The previous prime is 1006001441639. The next prime is 1006001441677. The reversal of 1006001441652 is 2561441006001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2530098 + ... + 2900585.

It is an arithmetic number, because the mean of its divisors is an integer number (50179520160).

Almost surely, 2^{1006001441652} is an apocalyptic number.

1006001441652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006001441652 is an abundant number, since it is smaller than the sum of its proper divisors (1402615526028).

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

1006001441652 is a wasteful number, since it uses less digits than its factorization.

1006001441652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431092 (or 5431090 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 1006001441652 its reverse (2561441006001), we get a palindrome (3567442447653).

The spelling of 1006001441652 in words is "one trillion, six billion, one million, four hundred forty-one thousand, six hundred fifty-two".