1563045120 has 864 divisors, whose sum is σ = 7046403840. Its totient is φ = 325140480.

The previous prime is 1563045097. The next prime is 1563045137. The reversal of 1563045120 is 215403651.

1563045120 is a `hidden beast` number, since 1 + 5 + 630 + 4 + 5 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1563045120² = 4886220094311628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22014685 + ... + 22014755.

It is an arithmetic number, because the mean of its divisors is an integer number (8155560).

Almost surely, 2^1563045120 is an apocalyptic number.

1563045120 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 1563045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523201920).

1563045120 is an abundant number, since it is smaller than the sum of its proper divisors (5483358720).

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

1563045120 is a wasteful number, since it uses less digits than its factorization.

1563045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1563045120 is about 39535.3654340010. The cubic root of 1563045120 is about 1160.5321379347.

Adding to 1563045120 its reverse (215403651), we get a palindrome (1778448771).

The spelling of 1563045120 in words is "one billion, five hundred sixty-three million, forty-five thousand, one hundred twenty".