531516160 has 144 divisors (see below), whose sum is σ = 1469030976. Its totient is φ = 180486144.

The previous prime is 531516149. The next prime is 531516217. The reversal of 531516160 is 61615135.

It is a super-2 number, since 2×531516160² = 565018856682291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1227304 + ... + 1227736.

It is an arithmetic number, because the mean of its divisors is an integer number (10201604).

Almost surely, 2^531516160 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 531516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734515488).

531516160 is an abundant number, since it is smaller than the sum of its proper divisors (937514816).

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

531516160 is a wasteful number, since it uses less digits than its factorization.

531516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 531516160 is about 23054.6342412973. The cubic root of 531516160 is about 810.0381834360.

The spelling of 531516160 in words is "five hundred thirty-one million, five hundred sixteen thousand, one hundred sixty".