527573409216 has 224 divisors, whose sum is σ = 1611143344128. Its totient is φ = 149239480320.

The previous prime is 527573409197. The next prime is 527573409217. The reversal of 527573409216 is 612904375725.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×527573409216² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527573409217) 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, 246183441 + ... + 246185583.

Almost surely, 2^527573409216 is an apocalyptic number.

527573409216 is a gapful number since it is divisible by the number (56) 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 527573409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805571672064).

527573409216 is an abundant number, since it is smaller than the sum of its proper divisors (1083569934912).

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

527573409216 is a wasteful number, since it uses less digits than its factorization.

527573409216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 527573409216 in words is "five hundred twenty-seven billion, five hundred seventy-three million, four hundred nine thousand, two hundred sixteen".