531611080 has 384 divisors, whose sum is σ = 1737469440. Its totient is φ = 141926400.

The previous prime is 531611077. The next prime is 531611081. The reversal of 531611080 is 80116135.

It is a super-2 number, since 2×531611080² = 565220680757532800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531611081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7487445 + ... + 7487515.

It is an arithmetic number, because the mean of its divisors is an integer number (4524660).

Almost surely, 2^531611080 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 531611080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868734720).

531611080 is an abundant number, since it is smaller than the sum of its proper divisors (1205858360).

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

531611080 is a wasteful number, since it uses less digits than its factorization.

531611080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 531611080 is about 23056.6927376846. The cubic root of 531611080 is about 810.0864003756.

The spelling of 531611080 in words is "five hundred thirty-one million, six hundred eleven thousand, eighty".