4509252263106 has 80 divisors (see below), whose sum is σ = 10544609275200. Its totient is φ = 1437563948832.

The previous prime is 4509252263099. The next prime is 4509252263123. The reversal of 4509252263106 is 6013622529054.

4509252263106 is a `hidden beast` number, since 4 + 5 + 0 + 9 + 2 + 5 + 2 + 2 + 631 + 0 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33873705 + ... + 34006563.

It is an arithmetic number, because the mean of its divisors is an integer number (131807615940).

Almost surely, 2^{4509252263106} is an apocalyptic number.

4509252263106 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4509252263106 is an abundant number, since it is smaller than the sum of its proper divisors (6035357012094).

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

4509252263106 is a wasteful number, since it uses less digits than its factorization.

4509252263106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142005 (or 141996 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 4509252263106 in words is "four trillion, five hundred nine billion, two hundred fifty-two million, two hundred sixty-three thousand, one hundred six".