1005253120 has 160 divisors (see below), whose sum is σ = 2545551360. Its totient is φ = 380190720.

The previous prime is 1005253087. The next prime is 1005253141. The reversal of 1005253120 is 213525001.

1005253120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4205961 + ... + 4206199.

It is an arithmetic number, because the mean of its divisors is an integer number (15909696).

Almost surely, 2^1005253120 is an apocalyptic number.

1005253120 is a gapful number since it is divisible by the number (10) 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 1005253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272775680).

1005253120 is an abundant number, since it is smaller than the sum of its proper divisors (1540298240).

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

1005253120 is an equidigital number, since it uses as much as digits as its factorization.

1005253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 1005253120 is about 31705.7269274811. The cubic root of 1005253120 is about 1001.7479827759.

Adding to 1005253120 its reverse (213525001), we get a palindrome (1218778121).

The spelling of 1005253120 in words is "one billion, five million, two hundred fifty-three thousand, one hundred twenty".