52121700 has 108 divisors (see below), whose sum is σ = 169090740. Its totient is φ = 13413120.

The previous prime is 52121687. The next prime is 52121723. The reversal of 52121700 is 712125.

It can be written as a sum of positive squares in 6 ways, for example, as 9585216 + 42536484 = 3096^2 + 6522^2 .

It is a super-2 number, since 2×52121700² = 5433343221780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25102 + ... + 27098.

It is an arithmetic number, because the mean of its divisors is an integer number (1565655).

Almost surely, 2^52121700 is an apocalyptic number.

52121700 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 52121700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84545370).

52121700 is an abundant number, since it is smaller than the sum of its proper divisors (116969040).

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

52121700 is a wasteful number, since it uses less digits than its factorization.

52121700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 52121700 is about 7219.5359961704. The cubic root of 52121700 is about 373.5420725389.

Adding to 52121700 its reverse (712125), we get a palindrome (52833825).

The spelling of 52121700 in words is "fifty-two million, one hundred twenty-one thousand, seven hundred".