531026496 has 448 divisors, whose sum is σ = 2102876160. Its totient is φ = 126904320.

The previous prime is 531026477. The next prime is 531026513. The reversal of 531026496 is 694620135.

It is a happy number.

531026496 is a `hidden beast` number, since 5 + 3 + 1 + 0 + 2 + 649 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 531026496.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1729575 + ... + 1729881.

It is an arithmetic number, because the mean of its divisors is an integer number (4693920).

Almost surely, 2^531026496 is an apocalyptic number.

531026496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531026496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051438080).

531026496 is an abundant number, since it is smaller than the sum of its proper divisors (1571849664).

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

531026496 is a wasteful number, since it uses less digits than its factorization.

531026496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 531026496 is about 23044.0121506651. The cubic root of 531026496 is about 809.7893553764.

The spelling of 531026496 in words is "five hundred thirty-one million, twenty-six thousand, four hundred ninety-six".