1563217152 has 144 divisors (see below), whose sum is σ = 4775111040. Its totient is φ = 444727296.

The previous prime is 1563217079. The next prime is 1563217163. The reversal of 1563217152 is 2517123651.

It is a super-2 number, since 2×1563217152² = 4887295728613982208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1682224 + ... + 1683152.

Almost surely, 2^1563217152 is an apocalyptic number.

1563217152 is a gapful number since it is divisible by the number (12) 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 1563217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387555520).

1563217152 is an abundant number, since it is smaller than the sum of its proper divisors (3211893888).

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

1563217152 is an equidigital number, since it uses as much as digits as its factorization.

1563217152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1254 counting only the distinct ones).

The product of its digits is 12600, while the sum is 33.

The square root of 1563217152 is about 39537.5410464536. The cubic root of 1563217152 is about 1160.5747132339.

The spelling of 1563217152 in words is "one billion, five hundred sixty-three million, two hundred seventeen thousand, one hundred fifty-two".