403085728230025 has 27 divisors (see below), whose sum is σ = 516473830073493. Its totient is φ = 312063961003200.

The previous prime is 403085728230001. The next prime is 403085728230083. The reversal of 403085728230025 is 520032827580304.

The square root of 403085728230025 is 20076995.

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 19826955846009 + 383258772384016 = 4452747^2 + 19576996^2 .

It is a de Polignac number, because none of the positive numbers 2^k-403085728230025 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3111869461 + ... + 3111998989.

Almost surely, 2^{403085728230025} is an apocalyptic number.

403085728230025 is the 20076995-th square number.

403085728230025 is the 10038498-th centered octagonal number.

It is an amenable number.

403085728230025 is a deficient number, since it is larger than the sum of its proper divisors (113388101843468).

403085728230025 is an frugal number, since it uses more digits than its factorization.

403085728230025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259130 (or 129565 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 49.

The spelling of 403085728230025 in words is "four hundred three trillion, eighty-five billion, seven hundred twenty-eight million, two hundred thirty thousand, twenty-five".