527242144 has 72 divisors (see below), whose sum is σ = 1226316672. Its totient is φ = 221195520.

The previous prime is 527242139. The next prime is 527242147. The reversal of 527242144 is 441242725.

It is not an unprimeable number, because it can be changed into a prime (527242147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55057 + ... + 63919.

It is an arithmetic number, because the mean of its divisors is an integer number (17032176).

Almost surely, 2^527242144 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 527242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613158336).

527242144 is an abundant number, since it is smaller than the sum of its proper divisors (699074528).

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

527242144 is a wasteful number, since it uses less digits than its factorization.

527242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8910 (or 8889 counting only the distinct ones).

The product of its digits is 17920, while the sum is 31.

The square root of 527242144 is about 22961.7539399759. The cubic root of 527242144 is about 807.8611171941.

Adding to 527242144 its reverse (441242725), we get a palindrome (968484869).

The spelling of 527242144 in words is "five hundred twenty-seven million, two hundred forty-two thousand, one hundred forty-four".