521252663502432 has 192 divisors, whose sum is σ = 1462170836448000. Its totient is φ = 162023076741120.

The previous prime is 521252663502421. The next prime is 521252663502437. The reversal of 521252663502432 is 234205366252125.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521252663502437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109042444 + ... + 113722292.

It is an arithmetic number, because the mean of its divisors is an integer number (7615473106500).

Almost surely, 2^{521252663502432} 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 521252663502432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731085418224000).

521252663502432 is an abundant number, since it is smaller than the sum of its proper divisors (940918172945568).

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

521252663502432 is a wasteful number, since it uses less digits than its factorization.

521252663502432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680509 (or 4680501 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 521252663502432 in words is "five hundred twenty-one trillion, two hundred fifty-two billion, six hundred sixty-three million, five hundred two thousand, four hundred thirty-two".