521013014000 has 160 divisors (see below), whose sum is σ = 1308975595200. Its totient is φ = 200335027200.

The previous prime is 521013013949. The next prime is 521013014023. The reversal of 521013014000 is 410310125.

It is a self number, because there is not a number n which added to its sum of digits gives 521013014000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13262387 + ... + 13301613.

It is an arithmetic number, because the mean of its divisors is an integer number (8181097470).

Almost surely, 2^521013014000 is an apocalyptic number.

521013014000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521013014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654487797600).

521013014000 is an abundant number, since it is smaller than the sum of its proper divisors (787962581200).

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

521013014000 is a wasteful number, since it uses less digits than its factorization.

521013014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39508 (or 39492 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 521013014000 its reverse (410310125), we get a palindrome (521423324125).

The spelling of 521013014000 in words is "five hundred twenty-one billion, thirteen million, fourteen thousand".