251049620064 has 48 divisors (see below), whose sum is σ = 659080422000. Its totient is φ = 83673661440.

The previous prime is 251049620057. The next prime is 251049620069. The reversal of 251049620064 is 460026940152.

It is a happy number.

251049620064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251049620069) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 723312 + ... + 1012560.

It is an arithmetic number, because the mean of its divisors is an integer number (13730842125).

Almost surely, 2^251049620064 is an apocalyptic number.

251049620064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

251049620064 is an abundant number, since it is smaller than the sum of its proper divisors (408030801936).

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

251049620064 is a wasteful number, since it uses less digits than its factorization.

251049620064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298303 (or 298295 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 251049620064 in words is "two hundred fifty-one billion, forty-nine million, six hundred twenty thousand, sixty-four".