1005265152 has 54 divisors (see below), whose sum is σ = 2898433902. Its totient is φ = 335087616.

The previous prime is 1005265147. The next prime is 1005265159. The reversal of 1005265152 is 2515625001.

1005265152 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 2 + 651 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 807469056 + 197796096 = 28416^2 + 14064^2 .

It is not an unprimeable number, because it can be changed into a prime (1005265159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215853 + ... + 220460.

Almost surely, 2^1005265152 is an apocalyptic number.

1005265152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005265152 is an abundant number, since it is smaller than the sum of its proper divisors (1893168750).

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

1005265152 is an equidigital number, since it uses as much as digits as its factorization.

1005265152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436335 (or 436318 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1005265152 is about 31705.9166718138. The cubic root of 1005265152 is about 1001.7519794422.

The spelling of 1005265152 in words is "one billion, five million, two hundred sixty-five thousand, one hundred fifty-two".