653824542 has 128 divisors (see below), whose sum is σ = 1677312000. Its totient is φ = 169047648.

The previous prime is 653824513. The next prime is 653824543. The reversal of 653824542 is 245428356.

653824542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 653824542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653824543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 898983 + ... + 899709.

It is an arithmetic number, because the mean of its divisors is an integer number (13104000).

Almost surely, 2^653824542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653824542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838656000).

653824542 is an abundant number, since it is smaller than the sum of its proper divisors (1023487458).

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

653824542 is a wasteful number, since it uses less digits than its factorization.

653824542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 781 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 653824542 is about 25569.9929996080. The cubic root of 653824542 is about 867.9347418854.

The spelling of 653824542 in words is "six hundred fifty-three million, eight hundred twenty-four thousand, five hundred forty-two".