52431300 has 90 divisors (see below), whose sum is σ = 169987818. Its totient is φ = 13979520.

The previous prime is 52431293. The next prime is 52431343. The reversal of 52431300 is 313425.

It can be written as a sum of positive squares in 3 ways, for example, as 331776 + 52099524 = 576^2 + 7218^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4864 + ... + 11336.

Almost surely, 2^52431300 is an apocalyptic number.

52431300 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 52431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84993909).

52431300 is an abundant number, since it is smaller than the sum of its proper divisors (117556518).

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

52431300 is a wasteful number, since it uses less digits than its factorization.

52431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6499 (or 6483 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 52431300 is about 7240.9460707838. The cubic root of 52431300 is about 374.2802193260.

Adding to 52431300 its reverse (313425), we get a palindrome (52744725).

The spelling of 52431300 in words is "fifty-two million, four hundred thirty-one thousand, three hundred".