1005251120 has 40 divisors (see below), whose sum is σ = 2394221760. Its totient is φ = 392291840.

The previous prime is 1005251047. The next prime is 1005251129. The reversal of 1005251120 is 211525001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1005251120² = 2021059628522508800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005251129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149960 + ... + 156519.

It is an arithmetic number, because the mean of its divisors is an integer number (59855544).

Almost surely, 2^1005251120 is an apocalyptic number.

1005251120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005251120 is an abundant number, since it is smaller than the sum of its proper divisors (1388970640).

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

1005251120 is a wasteful number, since it uses less digits than its factorization.

1005251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306533 (or 306527 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 1005251120 is about 31705.6953874221. The cubic root of 1005251120 is about 1001.7473184334.

Adding to 1005251120 its reverse (211525001), we get a palindrome (1216776121).

The spelling of 1005251120 in words is "one billion, five million, two hundred fifty-one thousand, one hundred twenty".