526561530 has 64 divisors (see below), whose sum is σ = 1388016000. Its totient is φ = 126782720.

The previous prime is 526561501. The next prime is 526561537. The reversal of 526561530 is 35165625.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 526561491 and 526561500.

It is not an unprimeable number, because it can be changed into a prime (526561537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43816 + ... + 54524.

It is an arithmetic number, because the mean of its divisors is an integer number (21687750).

Almost surely, 2^526561530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526561530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694008000).

526561530 is an abundant number, since it is smaller than the sum of its proper divisors (861454470).

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

526561530 is a wasteful number, since it uses less digits than its factorization.

526561530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10879.

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 526561530 is about 22946.9285526408. The cubic root of 526561530 is about 807.5133463401.

It can be divided in two parts, 5265 and 61530, that added together give a triangular number (66795 = T₃₆₅).

The spelling of 526561530 in words is "five hundred twenty-six million, five hundred sixty-one thousand, five hundred thirty".