248505241009 has 9 divisors (see below), whose sum is σ = 262282841067. Its totient is φ = 235417044744.

The previous prime is 248505240923. The next prime is 248505241057. The reversal of 248505241009 is 900142505842.

It is a happy number.

The square root of 248505241009 is 498503.

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

It can be written as a sum of positive squares in only one way, i.e., 33791630625 + 214713610384 = 183825^2 + 463372^2 .

It is not a de Polignac number, because 248505241009 - 2⁹ = 248505240497 is a prime.

It is a super-3 number, since 3×248505241009³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248505241909) 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, 9458439 + ... + 9484675.

Almost surely, 2^248505241009 is an apocalyptic number.

248505241009 is the 498503-rd square number.

248505241009 is the 249252-nd centered octagonal number.

It is an amenable number.

248505241009 is a deficient number, since it is larger than the sum of its proper divisors (13777600058).

248505241009 is an frugal number, since it uses more digits than its factorization.

248505241009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52512 (or 26256 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 248505241009 in words is "two hundred forty-eight billion, five hundred five million, two hundred forty-one thousand, nine".