521444000112 has 240 divisors, whose sum is σ = 1579695455520. Its totient is φ = 147780993024.

The previous prime is 521444000111. The next prime is 521444000113. The reversal of 521444000112 is 211000444125.

It is an interprime number because it is at equal distance from previous prime (521444000111) and next prime (521444000113).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521444000111) 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 in 47 ways as a sum of consecutive naturals, for example, 176579628 + ... + 176582580.

It is an arithmetic number, because the mean of its divisors is an integer number (6582064398).

Almost surely, 2^521444000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521444000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789847727760).

521444000112 is an abundant number, since it is smaller than the sum of its proper divisors (1058251455408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

521444000112 is a wasteful number, since it uses less digits than its factorization.

521444000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 521444000112 its reverse (211000444125), we get a palindrome (732444444237).

The spelling of 521444000112 in words is "five hundred twenty-one billion, four hundred forty-four million, one hundred twelve", and thus it is an aban number.