5080980961 has 27 divisors (see below), whose sum is σ = 6289158099. Its totient is φ = 4092099648.

The previous prime is 5080980953. The next prime is 5080980973. The reversal of 5080980961 is 1690890805.

The square root of 5080980961 is 71281.

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., 3955781025 + 1125199936 = 62895^2 + 33544^2 .

It is not a de Polignac number, because 5080980961 - 2³ = 5080980953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5080980901) 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 26 ways as a sum of consecutive naturals, for example, 8482140 + ... + 8482738.

Almost surely, 2^5080980961 is an apocalyptic number.

5080980961 is the 71281-st square number.

5080980961 is the 35641-st centered octagonal number.

It is an amenable number.

5080980961 is a deficient number, since it is larger than the sum of its proper divisors (1208177138).

5080980961 is an frugal number, since it uses more digits than its factorization.

5080980961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The cubic root of 5080980961 is about 1719.1582505768.

The spelling of 5080980961 in words is "five billion, eighty million, nine hundred eighty thousand, nine hundred sixty-one".