2033252013 has 24 divisors (see below), whose sum is σ = 2944250400. Its totient is φ = 1247538240.

The previous prime is 2033251981. The next prime is 2033252027. The reversal of 2033252013 is 3102523302.

It is not a de Polignac number, because 2033252013 - 2⁵ = 2033251981 is a prime.

It is a super-2 number, since 2×2033252013² = 8268227496737104338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033252813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171198 + ... + 182688.

It is an arithmetic number, because the mean of its divisors is an integer number (122677100).

Almost surely, 2^2033252013 is an apocalyptic number.

It is an amenable number.

2033252013 is a deficient number, since it is larger than the sum of its proper divisors (910998387).

2033252013 is a wasteful number, since it uses less digits than its factorization.

2033252013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11869 (or 11856 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 2033252013 is about 45091.5958134107. The cubic root of 2033252013 is about 1266.8651916520.

Adding to 2033252013 its reverse (3102523302), we get a palindrome (5135775315).

The spelling of 2033252013 in words is "two billion, thirty-three million, two hundred fifty-two thousand, thirteen".