444253313313 has 16 divisors (see below), whose sum is σ = 658258493760. Its totient is φ = 296121428928.

The previous prime is 444253313239. The next prime is 444253313321. The reversal of 444253313313 is 313313352444.

444253313313 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 5 + 331 + 3 + 313 = 666.

It is not a de Polignac number, because 444253313313 - 2³⁰ = 443179571489 is a prime.

It is a super-2 number, since 2×444253313313² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (444253313323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1145895 + ... + 1483772.

It is an arithmetic number, because the mean of its divisors is an integer number (41141155860).

Almost surely, 2^444253313313 is an apocalyptic number.

It is an amenable number.

444253313313 is a deficient number, since it is larger than the sum of its proper divisors (214005180447).

444253313313 is a wasteful number, since it uses less digits than its factorization.

444253313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635933 (or 2635927 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

Adding to 444253313313 its reverse (313313352444), we get a palindrome (757566665757).

The spelling of 444253313313 in words is "four hundred forty-four billion, two hundred fifty-three million, three hundred thirteen thousand, three hundred thirteen".