821513630952 has 160 divisors (see below), whose sum is σ = 2630933395200. Its totient is φ = 234609250176.

The previous prime is 821513630929. The next prime is 821513630969. The reversal of 821513630952 is 259036315128.

821513630952 is a `hidden beast` number, since 8 + 2 + 1 + 5 + 1 + 3 + 630 + 9 + 5 + 2 = 666.

821513630952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 821513630898 and 821513630907.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9997249 + ... + 10079087.

It is an arithmetic number, because the mean of its divisors is an integer number (16443333720).

Almost surely, 2^821513630952 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 821513630952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315466697600).

821513630952 is an abundant number, since it is smaller than the sum of its proper divisors (1809419764248).

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

821513630952 is a wasteful number, since it uses less digits than its factorization.

821513630952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84077 (or 84064 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 821513630952 in words is "eight hundred twenty-one billion, five hundred thirteen million, six hundred thirty thousand, nine hundred fifty-two".