4512561312 has 144 divisors (see below), whose sum is σ = 13872866112. Its totient is φ = 1280563200.

The previous prime is 4512561307. The next prime is 4512561331. The reversal of 4512561312 is 2131652154.

It is a super-2 number, since 2×4512561312² = 40726419189118322688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4512561312.

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 23 ways as a sum of consecutive naturals, for example, 707128 + ... + 713480.

It is an arithmetic number, because the mean of its divisors is an integer number (96339348).

Almost surely, 2^4512561312 is an apocalyptic number.

4512561312 is a gapful number since it is divisible by the number (42) 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 4512561312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6936433056).

4512561312 is an abundant number, since it is smaller than the sum of its proper divisors (9360304800).

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

4512561312 is a wasteful number, since it uses less digits than its factorization.

4512561312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6531 (or 6516 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 4512561312 is about 67175.6005704452. The cubic root of 4512561312 is about 1652.4983653932.

The spelling of 4512561312 in words is "four billion, five hundred twelve million, five hundred sixty-one thousand, three hundred twelve".