51234000 has 80 divisors (see below), whose sum is σ = 165197760. Its totient is φ = 13660800.

The previous prime is 51233999. The next prime is 51234017. The reversal of 51234000 is 43215.

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 (15).

It is a congruent number.

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, 1731 + ... + 10269.

It is an arithmetic number, because the mean of its divisors is an integer number (2064972).

Almost surely, 2^51234000 is an apocalyptic number.

51234000 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 51234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82598880).

51234000 is an abundant number, since it is smaller than the sum of its proper divisors (113963760).

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

51234000 is a wasteful number, since it uses less digits than its factorization.

51234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8565 (or 8549 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 51234000 is about 7157.7929559327. The cubic root of 51234000 is about 371.4092833038.

Adding to 51234000 its reverse (43215), we get a palindrome (51277215).

The spelling of 51234000 in words is "fifty-one million, two hundred thirty-four thousand".