1035052033 has 2 divisors, whose sum is σ = 1035052034. Its totient is φ = 1035052032.

The previous prime is 1035052019. The next prime is 1035052043. The reversal of 1035052033 is 3302505301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 912462849 + 122589184 = 30207^2 + 11072^2 .

It is a cyclic number.

It is not a de Polignac number, because 1035052033 - 2¹⁷ = 1034920961 is a prime.

It is a super-2 number, since 2×1035052033² = 2142665422034866178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1035051995 and 1035052013.

It is not a weakly prime, because it can be changed into another prime (1035052043) 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 as a sum of consecutive naturals, namely, 517526016 + 517526017.

It is an arithmetic number, because the mean of its divisors is an integer number (517526017).

Almost surely, 2^1035052033 is an apocalyptic number.

It is an amenable number.

1035052033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1035052033 is an equidigital number, since it uses as much as digits as its factorization.

1035052033 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1035052033 is about 32172.2245578387. The cubic root of 1035052033 is about 1011.5500927456.

Adding to 1035052033 its reverse (3302505301), we get a palindrome (4337557334).

The spelling of 1035052033 in words is "one billion, thirty-five million, fifty-two thousand, thirty-three".