52813106010 has 384 divisors, whose sum is σ = 164975616000. Its totient is φ = 11712677760.

The previous prime is 52813106009. The next prime is 52813106039. The reversal of 52813106010 is 1060131825.

52813106010 is a `hidden beast` number, since 5 + 28 + 1 + 31 + 0 + 601 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 194882175 + ... + 194882445.

It is an arithmetic number, because the mean of its divisors is an integer number (429624000).

Almost surely, 2^52813106010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52813106010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82487808000).

52813106010 is an abundant number, since it is smaller than the sum of its proper divisors (112162509990).

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

52813106010 is a wasteful number, since it uses less digits than its factorization.

52813106010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 52813106010 its reverse (1060131825), we get a palindrome (53873237835).

The spelling of 52813106010 in words is "fifty-two billion, eight hundred thirteen million, one hundred six thousand, ten".