1005325160 has 48 divisors (see below), whose sum is σ = 2631289860. Its totient is φ = 344682240.

The previous prime is 1005325091. The next prime is 1005325163. The reversal of 1005325160 is 615235001.

It can be written as a sum of positive squares in 2 ways, for example, as 850422244 + 154902916 = 29162^2 + 12446^2 .

It is not an unprimeable number, because it can be changed into a prime (1005325163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254501 + ... + 258420.

Almost surely, 2^1005325160 is an apocalyptic number.

1005325160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005325160 is an abundant number, since it is smaller than the sum of its proper divisors (1625964700).

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

1005325160 is a wasteful number, since it uses less digits than its factorization.

1005325160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512946 (or 512935 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1005325160 is about 31706.8629794876. The cubic root of 1005325160 is about 1001.7719118075.

The spelling of 1005325160 in words is "one billion, five million, three hundred twenty-five thousand, one hundred sixty".