1005011125 has 8 divisors (see below), whose sum is σ = 1254254040. Its totient is φ = 804008800.

The previous prime is 1005011087. The next prime is 1005011143. The reversal of 1005011125 is 5211105001.

It can be written as a sum of positive squares in 4 ways, for example, as 271359729 + 733651396 = 16473^2 + 27086^2 .

It is not a de Polignac number, because 1005011125 - 2²⁹ = 468140213 is a prime.

It is a super-2 number, since 2×1005011125² = 2020094722747531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005011099 and 1005011108.

It is a congruent number.

It is an unprimeable number.

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, 4019920 + ... + 4020169.

It is an arithmetic number, because the mean of its divisors is an integer number (156781755).

Almost surely, 2^1005011125 is an apocalyptic number.

It is an amenable number.

1005011125 is a deficient number, since it is larger than the sum of its proper divisors (249242915).

1005011125 is an frugal number, since it uses more digits than its factorization.

1005011125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8040104 (or 8040094 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 16.

The square root of 1005011125 is about 31701.9104313920. The cubic root of 1005011125 is about 1001.6675925892.

Adding to 1005011125 its reverse (5211105001), we get a palindrome (6216116126).

The spelling of 1005011125 in words is "one billion, five million, eleven thousand, one hundred twenty-five".