52563456 has 240 divisors, whose sum is σ = 178100208. Its totient is φ = 14745600.

The previous prime is 52563451. The next prime is 52563461. The reversal of 52563456 is 65436525.

It is a happy number.

52563456 is a `hidden beast` number, since 52 + 563 + 45 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (52563451) and next prime (52563461).

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 52563456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52563451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861666 + ... + 861726.

Almost surely, 2^52563456 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 52563456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89050104).

52563456 is an abundant number, since it is smaller than the sum of its proper divisors (125536752).

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

52563456 is a wasteful number, since it uses less digits than its factorization.

52563456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 52563456 is about 7250.0659307347. The cubic root of 52563456 is about 374.5944201715.

The spelling of 52563456 in words is "fifty-two million, five hundred sixty-three thousand, four hundred fifty-six".