52126000 has 80 divisors (see below), whose sum is σ = 128250720. Its totient is φ = 20486400.

The previous prime is 52125991. The next prime is 52126031. The reversal of 52126000 is 62125.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 133806 + ... + 134194.

It is an arithmetic number, because the mean of its divisors is an integer number (1603134).

Almost surely, 2^52126000 is an apocalyptic number.

52126000 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 52126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64125360).

52126000 is an abundant number, since it is smaller than the sum of its proper divisors (76124720).

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

52126000 is a wasteful number, since it uses less digits than its factorization.

52126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 52126000 is about 7219.8337931008. The cubic root of 52126000 is about 373.5523445673.

Adding to 52126000 its reverse (62125), we get a palindrome (52188125).

The spelling of 52126000 in words is "fifty-two million, one hundred twenty-six thousand".