1005052633 has 12 divisors (see below), whose sum is σ = 1145594640. Its totient is φ = 878909616.

The previous prime is 1005052627. The next prime is 1005052651. The reversal of 1005052633 is 3362505001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-1005052633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005052598 and 1005052607.

It is not an unprimeable number, because it can be changed into a prime (1005052693) 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, 153291 + ... + 159712.

It is an arithmetic number, because the mean of its divisors is an integer number (95466220).

Almost surely, 2^1005052633 is an apocalyptic number.

1005052633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1005052633 is a deficient number, since it is larger than the sum of its proper divisors (140542007).

1005052633 is a wasteful number, since it uses less digits than its factorization.

1005052633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313048 (or 313035 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 1005052633 is about 31702.5650854943. The cubic root of 1005052633 is about 1001.6813823689.

Adding to 1005052633 its reverse (3362505001), we get a palindrome (4367557634).

The spelling of 1005052633 in words is "one billion, five million, fifty-two thousand, six hundred thirty-three".