80510090049 has 81 divisors (see below), whose sum is σ = 125894131779. Its totient is φ = 51482329920.

The previous prime is 80510090047. The next prime is 80510090057. The reversal of 80510090049 is 94009001508.

The square root of 80510090049 is 283743.

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., 1418652225 + 79091437824 = 37665^2 + 281232^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 80510090049 - 2¹ = 80510090047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 80510089995 and 80510090022.

It is not an unprimeable number, because it can be changed into a prime (80510090047) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 712478617 + ... + 712478729.

Almost surely, 2^80510090049 is an apocalyptic number.

80510090049 is the 283743-rd square number.

80510090049 is the 141872-nd centered octagonal number.

It is an amenable number.

80510090049 is a deficient number, since it is larger than the sum of its proper divisors (45384041730).

80510090049 is an frugal number, since it uses more digits than its factorization.

80510090049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 80510090049 by its sum of digits (36), we get a square (2898363241764 = 1702458²).

The spelling of 80510090049 in words is "eighty billion, five hundred ten million, ninety thousand, forty-nine".