251551225225 has 24 divisors (see below), whose sum is σ = 314246672640. Its totient is φ = 199746035520.

The previous prime is 251551225139. The next prime is 251551225241. The reversal of 251551225225 is 522522155152.

251551225225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 251551225225 - 2¹³ = 251551217033 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 2577366 + ... + 2673184.

It is an arithmetic number, because the mean of its divisors is an integer number (13093611360).

Almost surely, 2^251551225225 is an apocalyptic number.

251551225225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

251551225225 is a deficient number, since it is larger than the sum of its proper divisors (62695447415).

251551225225 is a wasteful number, since it uses less digits than its factorization.

251551225225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96609 (or 96604 counting only the distinct ones).

The product of its digits is 100000, while the sum is 37.

It can be divided in two parts, 251551 and 225225, that added together give a triangular number (476776 = T₉₇₆).

The spelling of 251551225225 in words is "two hundred fifty-one billion, five hundred fifty-one million, two hundred twenty-five thousand, two hundred twenty-five".