526228288512 has 176 divisors, whose sum is σ = 1442413800960. Its totient is φ = 170441736192.

The previous prime is 526228288501. The next prime is 526228288529. The reversal of 526228288512 is 215882822625.

It is a super-2 number, since 2×526228288512² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99680689 + ... + 99685967.

It is an arithmetic number, because the mean of its divisors is an integer number (8195532960).

Almost surely, 2^526228288512 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 526228288512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721206900480).

526228288512 is an abundant number, since it is smaller than the sum of its proper divisors (916185512448).

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

526228288512 is a wasteful number, since it uses less digits than its factorization.

526228288512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6216 (or 6198 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 51.

The spelling of 526228288512 in words is "five hundred twenty-six billion, two hundred twenty-eight million, two hundred eighty-eight thousand, five hundred twelve".