33824260225 has 36 divisors (see below), whose sum is σ = 48862412784. Its totient is φ = 23159246880.

The previous prime is 33824260213. The next prime is 33824260241. The reversal of 33824260225 is 52206242833.

It is not a de Polignac number, because 33824260225 - 2¹¹ = 33824258177 is a prime.

It is a super-2 number, since 2×33824260225² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 816462 + ... + 856888.

It is an arithmetic number, because the mean of its divisors is an integer number (1357289244).

Almost surely, 2^33824260225 is an apocalyptic number.

33824260225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33824260225 is a deficient number, since it is larger than the sum of its proper divisors (15038152559).

33824260225 is a wasteful number, since it uses less digits than its factorization.

33824260225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41134 (or 41122 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 33824260225 in words is "thirty-three billion, eight hundred twenty-four million, two hundred sixty thousand, two hundred twenty-five".