498039306961 has 27 divisors (see below), whose sum is σ = 583618155057. Its totient is φ = 423770145120.

The previous prime is 498039306959. The next prime is 498039306977. The reversal of 498039306961 is 169603930894.

The square root of 498039306961 is 705719.

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

It can be written as a sum of positive squares in 4 ways, for example, as 420390140625 + 77649166336 = 648375^2 + 278656^2 .

It is not a de Polignac number, because 498039306961 - 2¹ = 498039306959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 498039306896 and 498039306905.

It is not an unprimeable number, because it can be changed into a prime (498039306461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 894145695 + ... + 894146251.

Almost surely, 2^498039306961 is an apocalyptic number.

498039306961 is the 705719-th square number.

498039306961 is the 352860-th centered octagonal number.

It is an amenable number.

498039306961 is a deficient number, since it is larger than the sum of its proper divisors (85578848096).

498039306961 is an frugal number, since it uses more digits than its factorization.

498039306961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 58.

The spelling of 498039306961 in words is "four hundred ninety-eight billion, thirty-nine million, three hundred six thousand, nine hundred sixty-one".