249851900506 has 128 divisors (see below), whose sum is σ = 451480780800. Its totient is φ = 102586798080.

The previous prime is 249851900491. The next prime is 249851900561. The reversal of 249851900506 is 605009158942.

249851900506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 249851900506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195348775 + ... + 195350053.

It is an arithmetic number, because the mean of its divisors is an integer number (3527193600).

Almost surely, 2^249851900506 is an apocalyptic number.

249851900506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

249851900506 is a deficient number, since it is larger than the sum of its proper divisors (201628880294).

249851900506 is a wasteful number, since it uses less digits than its factorization.

249851900506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664.

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 249851900506 in words is "two hundred forty-nine billion, eight hundred fifty-one million, nine hundred thousand, five hundred six".