531811980 has 240 divisors, whose sum is σ = 1990517760. Its totient is φ = 116214912.

The previous prime is 531811933. The next prime is 531811991. The reversal of 531811980 is 89118135.

531811980 is a `hidden beast` number, since 531 + 8 + 119 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 259801 + ... + 261839.

It is an arithmetic number, because the mean of its divisors is an integer number (8293824).

Almost surely, 2^531811980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531811980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995258880).

531811980 is an abundant number, since it is smaller than the sum of its proper divisors (1458705780).

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

531811980 is a wasteful number, since it uses less digits than its factorization.

531811980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 531811980 is about 23061.0489787434. The cubic root of 531811980 is about 810.1884335268.

The spelling of 531811980 in words is "five hundred thirty-one million, eight hundred eleven thousand, nine hundred eighty".