1006129152 has 234 divisors, whose sum is σ = 3386798298. Its totient is φ = 286949376.

The previous prime is 1006129147. The next prime is 1006129199. The reversal of 1006129152 is 2519216001.

It can be written as a sum of positive squares in only one way, i.e., 652087296 + 354041856 = 25536^2 + 18816^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1806058 + ... + 1806614.

It is an arithmetic number, because the mean of its divisors is an integer number (14473497).

Almost surely, 2^1006129152 is an apocalyptic number.

1006129152 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 1006129152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693399149).

1006129152 is an abundant number, since it is smaller than the sum of its proper divisors (2380669146).

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

1006129152 is an equidigital number, since it uses as much as digits as its factorization.

1006129152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1006129152 is about 31719.5389626016. The cubic root of 1006129152 is about 1002.0388907658.

The spelling of 1006129152 in words is "one billion, six million, one hundred twenty-nine thousand, one hundred fifty-two".