52312000 has 112 divisors (see below), whose sum is σ = 139793472. Its totient is φ = 19276800.

The previous prime is 52311991. The next prime is 52312021. The reversal of 52312000 is 21325.

52312000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103749 + ... + 104251.

It is an arithmetic number, because the mean of its divisors is an integer number (1248156).

Almost surely, 2^52312000 is an apocalyptic number.

52312000 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 52312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69896736).

52312000 is an abundant number, since it is smaller than the sum of its proper divisors (87481472).

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

52312000 is a wasteful number, since it uses less digits than its factorization.

52312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 523 counting only the distinct ones).

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

The square root of 52312000 is about 7232.7035056056. The cubic root of 52312000 is about 373.9961298655.

Adding to 52312000 its reverse (21325), we get a palindrome (52333325).

It can be divided in two parts, 5 and 2312000, that multiplied together give a square (11560000 = 3400²).

The spelling of 52312000 in words is "fifty-two million, three hundred twelve thousand".