52101000 has 192 divisors, whose sum is σ = 201502080. Its totient is φ = 11894400.

The previous prime is 52100999. The next prime is 52101017. The reversal of 52101000 is 10125.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62587 + ... + 63413.

It is an arithmetic number, because the mean of its divisors is an integer number (1049490).

Almost surely, 2^52101000 is an apocalyptic number.

52101000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100751040).

52101000 is an abundant number, since it is smaller than the sum of its proper divisors (149401080).

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

52101000 is a wasteful number, since it uses less digits than its factorization.

52101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 52101000 is about 7218.1022436649. The cubic root of 52101000 is about 373.4926155645.

Adding to 52101000 its reverse (10125), we get a palindrome (52111125).

The spelling of 52101000 in words is "fifty-two million, one hundred one thousand".