525302820 has 168 divisors, whose sum is σ = 1890592704. Its totient is φ = 120045888.

The previous prime is 525302803. The next prime is 525302849. The reversal of 525302820 is 28203525.

525302820 is a `hidden beast` number, since 52 + 530 + 2 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 55 ways as a sum of consecutive naturals, for example, 99487 + ... + 104633.

It is an arithmetic number, because the mean of its divisors is an integer number (11253528).

Almost surely, 2^525302820 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 525302820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945296352).

525302820 is an abundant number, since it is smaller than the sum of its proper divisors (1365289884).

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

525302820 is a wasteful number, since it uses less digits than its factorization.

525302820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 525302820 is about 22919.4855963217. The cubic root of 525302820 is about 806.8693974743.

The spelling of 525302820 in words is "five hundred twenty-five million, three hundred two thousand, eight hundred twenty".