1005335325 has 72 divisors (see below), whose sum is σ = 1861753608. Its totient is φ = 518192640.

The previous prime is 1005335297. The next prime is 1005335329. The reversal of 1005335325 is 5235335001.

1005335325 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 335 + 325 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 118069956 + 887265369 = 10866^2 + 29787^2 .

It is not a de Polignac number, because 1005335325 - 2⁷ = 1005335197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005335329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1639719 + ... + 1640331.

It is an arithmetic number, because the mean of its divisors is an integer number (25857689).

Almost surely, 2^1005335325 is an apocalyptic number.

1005335325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005335325 is a deficient number, since it is larger than the sum of its proper divisors (856418283).

1005335325 is a wasteful number, since it uses less digits than its factorization.

1005335325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 1005335325 is about 31707.0232756088. The cubic root of 1005335325 is about 1001.7752881536.

The spelling of 1005335325 in words is "one billion, five million, three hundred thirty-five thousand, three hundred twenty-five".