563151120 has 160 divisors (see below), whose sum is σ = 2036179200. Its totient is φ = 128701440.

The previous prime is 563151119. The next prime is 563151131. The reversal of 563151120 is 21151365.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 78900 + ... + 85740.

It is an arithmetic number, because the mean of its divisors is an integer number (12726120).

Almost surely, 2^563151120 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 563151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018089600).

563151120 is an abundant number, since it is smaller than the sum of its proper divisors (1473028080).

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

563151120 is a wasteful number, since it uses less digits than its factorization.

563151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6878 (or 6858 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 563151120 is about 23730.8052960703. The cubic root of 563151120 is about 825.8002006455.

The spelling of 563151120 in words is "five hundred sixty-three million, one hundred fifty-one thousand, one hundred twenty".