531265536 has 288 divisors, whose sum is σ = 1699261200. Its totient is φ = 159252480.

The previous prime is 531265519. The next prime is 531265543. The reversal of 531265536 is 635562135.

531265536 is a `hidden beast` number, since 53 + 12 + 65 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (81000) is a multiple of the sum of its prime factors (125).

It is a self number, because there is not a number n which added to its sum of digits gives 531265536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12957676 + ... + 12957716.

Almost surely, 2^531265536 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 531265536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849630600).

531265536 is an abundant number, since it is smaller than the sum of its proper divisors (1167995664).

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

531265536 is a wasteful number, since it uses less digits than its factorization.

531265536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The square root of 531265536 is about 23049.1981639275. The cubic root of 531265536 is about 809.9108452399.

The spelling of 531265536 in words is "five hundred thirty-one million, two hundred sixty-five thousand, five hundred thirty-six".