51232000 has 72 divisors (see below), whose sum is σ = 127705032. Its totient is φ = 20480000.

The previous prime is 51231991. The next prime is 51232003. The reversal of 51232000 is 23215.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 50013184 = 1104^2 + 7072^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51232003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31200 + ... + 32800.

It is an arithmetic number, because the mean of its divisors is an integer number (1773681).

Almost surely, 2^51232000 is an apocalyptic number.

51232000 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 51232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63852516).

51232000 is an abundant number, since it is smaller than the sum of its proper divisors (76473032).

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

51232000 is an equidigital number, since it uses as much as digits as its factorization.

51232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 51232000 is about 7157.6532467003. The cubic root of 51232000 is about 371.4044503919.

Adding to 51232000 its reverse (23215), we get a palindrome (51255215).

The spelling of 51232000 in words is "fifty-one million, two hundred thirty-two thousand".