12508409281 has 9 divisors (see below), whose sum is σ = 12649662441. Its totient is φ = 12368719872.

The previous prime is 12508409269. The next prime is 12508409293. The reversal of 12508409281 is 18290480521.

The square root of 12508409281 is 111841.

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

It is an interprime number because it is at equal distance from previous prime (12508409269) and next prime (12508409293).

It can be written as a sum of positive squares in 4 ways, for example, as 818474881 + 11689934400 = 28609^2 + 108120^2 .

It is not a de Polignac number, because 12508409281 - 2⁷ = 12508409153 is a prime.

It is a super-2 number, since 2×12508409281² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12508409581) 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, 10848001 + ... + 10849153.

It is an arithmetic number, because the mean of its divisors is an integer number (1405518049).

Almost surely, 2^12508409281 is an apocalyptic number.

12508409281 is the 111841-st square number.

12508409281 is the 55921-st centered octagonal number.

It is an amenable number.

12508409281 is a deficient number, since it is larger than the sum of its proper divisors (141253160).

12508409281 is an frugal number, since it uses more digits than its factorization.

12508409281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 12508409281 in words is "twelve billion, five hundred eight million, four hundred nine thousand, two hundred eighty-one".