201582096557521 has 9 divisors (see below), whose sum is σ = 202332548720649. Its totient is φ = 200834417733300.

The previous prime is 201582096557407. The next prime is 201582096557533. The reversal of 201582096557521 is 125755690285102.

The square root of 201582096557521 is 14197961.

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

It is a de Polignac number, because none of the positive numbers 2^k-201582096557521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201582096557551) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3847621236 + ... + 3847673626.

Almost surely, 2^{201582096557521} is an apocalyptic number.

201582096557521 is the 14197961-st square number.

201582096557521 is the 7098981-st centered octagonal number.

It is an amenable number.

201582096557521 is a deficient number, since it is larger than the sum of its proper divisors (750452163128).

201582096557521 is an frugal number, since it uses more digits than its factorization.

201582096557521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105324 (or 52662 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 58.

The spelling of 201582096557521 in words is "two hundred one trillion, five hundred eighty-two billion, ninety-six million, five hundred fifty-seven thousand, five hundred twenty-one".