521753214462012 has 288 divisors, whose sum is σ = 1457639851449600. Its totient is φ = 156356237039616.

The previous prime is 521753214461989. The next prime is 521753214462017. The reversal of 521753214462012 is 210264412357125.

521753214462012 is a `hidden beast` number, since 5 + 2 + 1 + 7 + 5 + 3 + 2 + 1 + 4 + 4 + 620 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521753214462017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10059030814 + ... + 10059082682.

It is an arithmetic number, because the mean of its divisors is an integer number (5061249484200).

Almost surely, 2^{521753214462012} is an apocalyptic number.

521753214462012 is a gapful number since it is divisible by the number (52) 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 521753214462012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728819925724800).

521753214462012 is an abundant number, since it is smaller than the sum of its proper divisors (935886636987588).

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

521753214462012 is a wasteful number, since it uses less digits than its factorization.

521753214462012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54165 (or 54160 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 521753214462012 in words is "five hundred twenty-one trillion, seven hundred fifty-three billion, two hundred fourteen million, four hundred sixty-two thousand, twelve".