1563045264 has 120 divisors (see below), whose sum is σ = 4784506272. Its totient is φ = 472412160.

The previous prime is 1563045223. The next prime is 1563045269. The reversal of 1563045264 is 4625403651.

1563045264 is a `hidden beast` number, since 15 + 630 + 4 + 5 + 2 + 6 + 4 = 666.

It is a super-2 number, since 2×1563045264² = 4886220994625659392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1563045269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738672 + ... + 740784.

Almost surely, 2^1563045264 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 1563045264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392253136).

1563045264 is an abundant number, since it is smaller than the sum of its proper divisors (3221461008).

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

1563045264 is a wasteful number, since it uses less digits than its factorization.

1563045264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 1563045264 is about 39535.3672551552. The cubic root of 1563045264 is about 1160.5321735739.

The spelling of 1563045264 in words is "one billion, five hundred sixty-three million, forty-five thousand, two hundred sixty-four".