980248505625 has 135 divisors (see below), whose sum is σ = 1817350459353. Its totient is φ = 508977756000.

The previous prime is 980248505581. The next prime is 980248505629. The reversal of 980248505625 is 526505842089.

The square root of 980248505625 is 990075.

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

980248505625 is a `hidden beast` number, since 9 + 8 + 0 + 2 + 4 + 8 + 5 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76851482841 + 903397022784 = 277221^2 + 950472^2 .

It is not a de Polignac number, because 980248505625 - 2¹⁵ = 980248472857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (980248505629) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3192991722 + ... + 3192992028.

Almost surely, 2^980248505625 is an apocalyptic number.

980248505625 is the 990075-th square number.

980248505625 is the 495038-th centered octagonal number.

It is an amenable number.

980248505625 is a deficient number, since it is larger than the sum of its proper divisors (837101953728).

980248505625 is an frugal number, since it uses more digits than its factorization.

980248505625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 980248505625 in words is "nine hundred eighty billion, two hundred forty-eight million, five hundred five thousand, six hundred twenty-five".