249937760033 has 24 divisors (see below), whose sum is σ = 272485670688. Its totient is φ = 229142639232.

The previous prime is 249937759999. The next prime is 249937760047. The reversal of 249937760033 is 330067739942.

249937760033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 249937760033 - 2⁶ = 249937759969 is a prime.

It is a super-4 number, since 4×249937760033⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249937766033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72088766 + ... + 72092232.

It is an arithmetic number, because the mean of its divisors is an integer number (11353569612).

Almost surely, 2^249937760033 is an apocalyptic number.

It is an amenable number.

249937760033 is a deficient number, since it is larger than the sum of its proper divisors (22547910655).

249937760033 is a wasteful number, since it uses less digits than its factorization.

249937760033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6273 (or 6260 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 53.

The spelling of 249937760033 in words is "two hundred forty-nine billion, nine hundred thirty-seven million, seven hundred sixty thousand, thirty-three".