821152530 has 192 divisors, whose sum is σ = 2496469248. Its totient is φ = 185057280.

The previous prime is 821152529. The next prime is 821152543. The reversal of 821152530 is 35251128.

It is a happy number.

821152530 is a `hidden beast` number, since 82 + 1 + 1 + 52 + 530 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 821152494 and 821152503.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1632259 + ... + 1632761.

It is an arithmetic number, because the mean of its divisors is an integer number (13002444).

Almost surely, 2^821152530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821152530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248234624).

821152530 is an abundant number, since it is smaller than the sum of its proper divisors (1675316718).

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

821152530 is a wasteful number, since it uses less digits than its factorization.

821152530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 821152530 is about 28655.7591070277. The cubic root of 821152530 is about 936.4284760254.

It can be divided in two parts, 821 and 152530, that added together give a palindrome (153351).

The spelling of 821152530 in words is "eight hundred twenty-one million, one hundred fifty-two thousand, five hundred thirty".