1006983252 has 144 divisors (see below), whose sum is σ = 2935662912. Its totient is φ = 299220480.

The previous prime is 1006983239. The next prime is 1006983259. The reversal of 1006983252 is 2523896001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006983259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565788 + ... + 567564.

It is an arithmetic number, because the mean of its divisors is an integer number (20386548).

Almost surely, 2^1006983252 is an apocalyptic number.

1006983252 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 1006983252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467831456).

1006983252 is an abundant number, since it is smaller than the sum of its proper divisors (1928679660).

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

1006983252 is a wasteful number, since it uses less digits than its factorization.

1006983252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1006983252 is about 31732.9994170107. Note that the first 3 decimals coincide. The cubic root of 1006983252 is about 1002.3223531674.

The spelling of 1006983252 in words is "one billion, six million, nine hundred eighty-three thousand, two hundred fifty-two".