531361080 has 256 divisors, whose sum is σ = 1866240000. Its totient is φ = 134300160.

The previous prime is 531361073. The next prime is 531361081. The reversal of 531361080 is 80163135.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531361081) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1975186 + ... + 1975454.

It is an arithmetic number, because the mean of its divisors is an integer number (7290000).

Almost surely, 2^531361080 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 531361080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933120000).

531361080 is an abundant number, since it is smaller than the sum of its proper divisors (1334878920).

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

531361080 is a wasteful number, since it uses less digits than its factorization.

531361080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 531361080 is about 23051.2706808106. The cubic root of 531361080 is about 809.9593943979.

The spelling of 531361080 in words is "five hundred thirty-one million, three hundred sixty-one thousand, eighty".