280979505625 has 135 divisors (see below), whose sum is σ = 444177671553. Its totient is φ = 177087456000.

The previous prime is 280979505619. The next prime is 280979505629. The reversal of 280979505625 is 526505979082.

The square root of 280979505625 is 530075.

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

It can be written as a sum of positive squares in 22 ways, for example, as 83996212041 + 196983293584 = 289821^2 + 443828^2 .

It is not a de Polignac number, because 280979505625 - 2¹³ = 280979497433 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 280979505625.

It is not an unprimeable number, because it can be changed into a prime (280979505629) 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 134 ways as a sum of consecutive naturals, for example, 1205920509 + ... + 1205920741.

Almost surely, 2^280979505625 is an apocalyptic number.

280979505625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

280979505625 is the 530075-th square number.

280979505625 is the 265038-th centered octagonal number.

It is an amenable number.

280979505625 is a deficient number, since it is larger than the sum of its proper divisors (163198165928).

280979505625 is an frugal number, since it uses more digits than its factorization.

280979505625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 58.

The spelling of 280979505625 in words is "two hundred eighty billion, nine hundred seventy-nine million, five hundred five thousand, six hundred twenty-five".