248321825761 has 9 divisors (see below), whose sum is σ = 249724463443. Its totient is φ = 246927030880.

The previous prime is 248321825749. The next prime is 248321825767. The reversal of 248321825761 is 167528123842.

The square root of 248321825761 is 498319.

It is a perfect power (a square), and thus also a powerful number.

248321825761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 119383379361 + 128938446400 = 345519^2 + 359080^2 .

It is not a de Polignac number, because 248321825761 - 2²⁹ = 247784954849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248321825767) 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 8 ways as a sum of consecutive naturals, for example, 95177625 + ... + 95180233.

Almost surely, 2^248321825761 is an apocalyptic number.

248321825761 is the 498319-th square number.

248321825761 is the 249160-th centered octagonal number.

It is an amenable number.

248321825761 is a deficient number, since it is larger than the sum of its proper divisors (1402637682).

248321825761 is an frugal number, since it uses more digits than its factorization.

248321825761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600 (or 2800 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 49.

Multiplying 248321825761 by its sum of digits (49), we get a square (12167769462289 = 3488233²).

The spelling of 248321825761 in words is "two hundred forty-eight billion, three hundred twenty-one million, eight hundred twenty-five thousand, seven hundred sixty-one".