1005125320 has 32 divisors (see below), whose sum is σ = 2292518520. Its totient is φ = 396541440.

The previous prime is 1005125299. The next prime is 1005125321. The reversal of 1005125320 is 235215001.

It can be written as a sum of positive squares in 4 ways, for example, as 930372004 + 74753316 = 30502^2 + 8646^2 .

It is not an unprimeable number, because it can be changed into a prime (1005125321) 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 7 ways as a sum of consecutive naturals, for example, 169191 + ... + 175030.

Almost surely, 2^1005125320 is an apocalyptic number.

1005125320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005125320 is an abundant number, since it is smaller than the sum of its proper divisors (1287393200).

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

1005125320 is a wasteful number, since it uses less digits than its factorization.

1005125320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344305 (or 344301 counting only the distinct ones).

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

The square root of 1005125320 is about 31703.7114546546. The cubic root of 1005125320 is about 1001.7055295154.

The spelling of 1005125320 in words is "one billion, five million, one hundred twenty-five thousand, three hundred twenty".