1005033325 has 12 divisors (see below), whose sum is σ = 1258583508. Its totient is φ = 796064000.

The previous prime is 1005033313. The next prime is 1005033343. The reversal of 1005033325 is 5233305001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 70324996 + 934708329 = 8386^2 + 30573^2 .

It is not a de Polignac number, because 1005033325 - 2²¹ = 1002936173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005033296 and 1005033305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196492 + ... + 201541.

It is an arithmetic number, because the mean of its divisors is an integer number (104881959).

Almost surely, 2^1005033325 is an apocalyptic number.

It is an amenable number.

1005033325 is a deficient number, since it is larger than the sum of its proper divisors (253550183).

1005033325 is a wasteful number, since it uses less digits than its factorization.

1005033325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398144 (or 398139 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 1005033325 is about 31702.2605660858. The cubic root of 1005033325 is about 1001.6749679161.

Adding to 1005033325 its reverse (5233305001), we get a palindrome (6238338326).

The spelling of 1005033325 in words is "one billion, five million, thirty-three thousand, three hundred twenty-five".