531041280 has 352 divisors, whose sum is σ = 2122329600. Its totient is φ = 110100480.

The previous prime is 531041249. The next prime is 531041309. The reversal of 531041280 is 82140135.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 531041280.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182496 + ... + 1182944.

Almost surely, 2^531041280 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 531041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061164800).

531041280 is an abundant number, since it is smaller than the sum of its proper divisors (1591288320).

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

531041280 is a wasteful number, since it uses less digits than its factorization.

531041280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 531041280 is about 23044.3329259061. The cubic root of 531041280 is about 809.7968702649.

The spelling of 531041280 in words is "five hundred thirty-one million, forty-one thousand, two hundred eighty".