531361200 has 120 divisors (see below), whose sum is σ = 1760936400. Its totient is φ = 136801280.

The previous prime is 531361183. The next prime is 531361211. The reversal of 531361200 is 2163135.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27166 + ... + 42434.

It is an arithmetic number, because the mean of its divisors is an integer number (14674470).

Almost surely, 2^531361200 is an apocalyptic number.

531361200 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 531361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880468200).

531361200 is an abundant number, since it is smaller than the sum of its proper divisors (1229575200).

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

531361200 is a wasteful number, since it uses less digits than its factorization.

531361200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15319 (or 15308 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 531361200 is about 23051.2732837039. The cubic root of 531361200 is about 809.9594553704.

The spelling of 531361200 in words is "five hundred thirty-one million, three hundred sixty-one thousand, two hundred".