526313120 has 96 divisors (see below), whose sum is σ = 1281728448. Its totient is φ = 204115968.

The previous prime is 526313113. The next prime is 526313143. The reversal of 526313120 is 21313625.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1561592 + ... + 1561928.

It is an arithmetic number, because the mean of its divisors is an integer number (13351338).

Almost surely, 2^526313120 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 526313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640864224).

526313120 is an abundant number, since it is smaller than the sum of its proper divisors (755415328).

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

526313120 is a wasteful number, since it uses less digits than its factorization.

526313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 526313120 is about 22941.5152071523. The cubic root of 526313120 is about 807.3863425421.

Adding to 526313120 its reverse (21313625), we get a palindrome (547626745).

The spelling of 526313120 in words is "five hundred twenty-six million, three hundred thirteen thousand, one hundred twenty".