521753170116 has 192 divisors, whose sum is σ = 1410750673920. Its totient is φ = 149028802560.

The previous prime is 521753170061. The next prime is 521753170121. The reversal of 521753170116 is 611071357125.

It is a super-4 number, since 4×521753170116⁴ (a number of 48 digits) contains 4444 as substring.

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, 10622871 + ... + 10671873.

It is an arithmetic number, because the mean of its divisors is an integer number (7347659760).

Almost surely, 2^521753170116 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 521753170116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705375336960).

521753170116 is an abundant number, since it is smaller than the sum of its proper divisors (888997503804).

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

521753170116 is a wasteful number, since it uses less digits than its factorization.

521753170116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49154 (or 49152 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 39.

The spelling of 521753170116 in words is "five hundred twenty-one billion, seven hundred fifty-three million, one hundred seventy thousand, one hundred sixteen".