1563312900 has 72 divisors (see below), whose sum is σ = 4645466560. Its totient is φ = 405613440.

The previous prime is 1563312893. The next prime is 1563312901. The reversal of 1563312900 is 92133651.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1563312901) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 59320 + ... + 81519.

Almost surely, 2^1563312900 is an apocalyptic number.

1563312900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1563312900 is an abundant number, since it is smaller than the sum of its proper divisors (3082153660).

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

1563312900 is a wasteful number, since it uses less digits than its factorization.

1563312900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140893 (or 140886 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 1563312900 is about 39538.7518771142. The cubic root of 1563312900 is about 1160.5984080521.

The spelling of 1563312900 in words is "one billion, five hundred sixty-three million, three hundred twelve thousand, nine hundred".