526028964552 has 384 divisors, whose sum is σ = 1794101836800. Its totient is φ = 135551729664.

The previous prime is 526028964551. The next prime is 526028964611. The reversal of 526028964552 is 255469820625.

It is a happy number.

526028964552 is a `hidden beast` number, since 5 + 2 + 6 + 0 + 2 + 89 + 6 + 4 + 552 = 666.

It is not an unprimeable number, because it can be changed into a prime (526028964551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50202738 + ... + 50213214.

It is an arithmetic number, because the mean of its divisors is an integer number (4672140200).

Almost surely, 2^526028964552 is an apocalyptic number.

526028964552 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 526028964552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897050918400).

526028964552 is an abundant number, since it is smaller than the sum of its proper divisors (1268072872248).

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

526028964552 is a wasteful number, since it uses less digits than its factorization.

526028964552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10685 (or 10678 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 526028964552 in words is "five hundred twenty-six billion, twenty-eight million, nine hundred sixty-four thousand, five hundred fifty-two".