248519199289 has 9 divisors (see below), whose sum is σ = 252007109613. Its totient is φ = 245078933472.

The previous prime is 248519199281. The next prime is 248519199353. The reversal of 248519199289 is 982991915842.

The square root of 248519199289 is 498517.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3006877225 + 245512322064 = 54835^2 + 495492^2 .

It is not a de Polignac number, because 248519199289 - 2³ = 248519199281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248519199281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36388327 + ... + 36395155.

It is an arithmetic number, because the mean of its divisors is an integer number (28000789957).

Almost surely, 2^248519199289 is an apocalyptic number.

248519199289 is the 498517-th square number.

248519199289 is the 249259-th centered octagonal number.

It is an amenable number.

248519199289 is a deficient number, since it is larger than the sum of its proper divisors (3487910324).

248519199289 is an frugal number, since it uses more digits than its factorization.

248519199289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13804 (or 6902 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 67.

The spelling of 248519199289 in words is "two hundred forty-eight billion, five hundred nineteen million, one hundred ninety-nine thousand, two hundred eighty-nine".