1005501280 has 96 divisors (see below), whose sum is σ = 2857800960. Its totient is φ = 326592000.

The previous prime is 1005501271. The next prime is 1005501283. The reversal of 1005501280 is 821055001.

It is a super-2 number, since 2×1005501280² = 2022065648163276800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005501283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2346 + ... + 44905.

It is an arithmetic number, because the mean of its divisors is an integer number (29768760).

Almost surely, 2^1005501280 is an apocalyptic number.

1005501280 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 1005501280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428900480).

1005501280 is an abundant number, since it is smaller than the sum of its proper divisors (1852299680).

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

1005501280 is a wasteful number, since it uses less digits than its factorization.

1005501280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47292 (or 47284 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 1005501280 is about 31709.6401745589. The cubic root of 1005501280 is about 1001.8304075640.

Adding to 1005501280 its reverse (821055001), we get a palindrome (1826556281).

The spelling of 1005501280 in words is "one billion, five million, five hundred one thousand, two hundred eighty".