1563042000 has 320 divisors, whose sum is σ = 5622140160. Its totient is φ = 370944000.

The previous prime is 1563041989. The next prime is 1563042001. The reversal of 1563042000 is 2403651.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1563042001) 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, 2261655 + ... + 2262345.

It is an arithmetic number, because the mean of its divisors is an integer number (17569188).

Almost surely, 2^1563042000 is an apocalyptic number.

1563042000 is a gapful number since it is divisible by the number (10) 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 1563042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811070080).

1563042000 is an abundant number, since it is smaller than the sum of its proper divisors (4059098160).

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

1563042000 is a wasteful number, since it uses less digits than its factorization.

1563042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1563042000 is about 39535.3259756385. The cubic root of 1563042000 is about 1160.5313657534.

Adding to 1563042000 its reverse (2403651), we get a palindrome (1565445651).

It can be divided in two parts, 15630 and 42000, that added together give a triangular number (57630 = T₃₃₉).

The spelling of 1563042000 in words is "one billion, five hundred sixty-three million, forty-two thousand".