2538509033 has 2 divisors, whose sum is σ = 2538509034. Its totient is φ = 2538509032.

The previous prime is 2538509021. The next prime is 2538509093. The reversal of 2538509033 is 3309058352.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2509208464 + 29300569 = 50092^2 + 5413^2 .

It is a cyclic number.

It is not a de Polignac number, because 2538509033 - 2¹⁰ = 2538508009 is a prime.

It is a super-2 number, since 2×2538509033² = 12888056221245190178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2538509093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1269254516 + 1269254517.

It is an arithmetic number, because the mean of its divisors is an integer number (1269254517).

Almost surely, 2^2538509033 is an apocalyptic number.

It is an amenable number.

2538509033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2538509033 is an equidigital number, since it uses as much as digits as its factorization.

2538509033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97200, while the sum is 38.

The square root of 2538509033 is about 50383.6186969535. The cubic root of 2538509033 is about 1364.1419704782.

The spelling of 2538509033 in words is "two billion, five hundred thirty-eight million, five hundred nine thousand, thirty-three".