521643516171232 has 384 divisors, whose sum is σ = 1312543671828480. Its totient is φ = 198519114055680.

The previous prime is 521643516171227. The next prime is 521643516171233. The reversal of 521643516171232 is 232171615346125.

It is a super-2 number, since 2×521643516171232² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521643516171233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10273199028 + ... + 10273249804.

It is an arithmetic number, because the mean of its divisors is an integer number (3418082478720).

Almost surely, 2^{521643516171232} is an apocalyptic number.

521643516171232 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 521643516171232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656271835914240).

521643516171232 is an abundant number, since it is smaller than the sum of its proper divisors (790900155657248).

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

521643516171232 is a wasteful number, since it uses less digits than its factorization.

521643516171232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51514 (or 51506 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 49.

The spelling of 521643516171232 in words is "five hundred twenty-one trillion, six hundred forty-three billion, five hundred sixteen million, one hundred seventy-one thousand, two hundred thirty-two".