522533268065072 has 320 divisors, whose sum is σ = 1154896596172800. Its totient is φ = 226859730048000.

The previous prime is 522533268064979. The next prime is 522533268065161. The reversal of 522533268065072 is 270560862335225.

It is a junction number, because it is equal to n+sod(n) for n = 522533268064999 and 522533268065017.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147649975079 + ... + 147649978617.

It is an arithmetic number, because the mean of its divisors is an integer number (3609051863040).

Almost surely, 2^{522533268065072} 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 522533268065072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577448298086400).

522533268065072 is an abundant number, since it is smaller than the sum of its proper divisors (632363328107728).

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

522533268065072 is a wasteful number, since it uses less digits than its factorization.

522533268065072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 56.

The spelling of 522533268065072 in words is "five hundred twenty-two trillion, five hundred thirty-three billion, two hundred sixty-eight million, sixty-five thousand, seventy-two".