531268500 has 192 divisors, whose sum is σ = 1861816320. Its totient is φ = 114998400.

The previous prime is 531268477. The next prime is 531268553. The reversal of 531268500 is 5862135.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198169 + ... + 200831.

It is an arithmetic number, because the mean of its divisors is an integer number (9696960).

Almost surely, 2^531268500 is an apocalyptic number.

531268500 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 531268500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930908160).

531268500 is an abundant number, since it is smaller than the sum of its proper divisors (1330547820).

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

531268500 is a wasteful number, since it uses less digits than its factorization.

531268500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 531268500 is about 23049.2624610854. The cubic root of 531268500 is about 809.9123514366.

The spelling of 531268500 in words is "five hundred thirty-one million, two hundred sixty-eight thousand, five hundred".