803494412084529 has 63 divisors (see below), whose sum is σ = 1324177839326587. Its totient is φ = 486961208078400.

The previous prime is 803494412084477. The next prime is 803494412084587. The reversal of 803494412084529 is 925480214494308.

It is a happy number.

The square root of 803494412084529 is 28345977.

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

803494412084529 is a `hidden beast` number, since 8 + 0 + 3 + 4 + 9 + 4 + 4 + 1 + 20 + 84 + 529 = 666.

It can be written as a sum of positive squares in only one way, i.e., 704856144462129 + 98638267622400 = 26549127^2 + 9931680^2 .

It is not a de Polignac number, because 803494412084529 - 2⁷ = 803494412084401 is a prime.

It is a super-2 number, since 2×803494412084529² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (803494412084029) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 8418707449 + ... + 8418802889.

Almost surely, 2^{803494412084529} is an apocalyptic number.

803494412084529 is the 28345977-th square number.

803494412084529 is the 14172989-th centered octagonal number.

It is an amenable number.

803494412084529 is a deficient number, since it is larger than the sum of its proper divisors (520683427242058).

803494412084529 is an frugal number, since it uses more digits than its factorization.

803494412084529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190922 (or 95455 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 803494412084529 in words is "eight hundred three trillion, four hundred ninety-four billion, four hundred twelve million, eighty-four thousand, five hundred twenty-nine".