36293335116025 has 27 divisors (see below), whose sum is σ = 48732381444429. Its totient is φ = 26800942914720.

The previous prime is 36293335116019. The next prime is 36293335116047. The reversal of 36293335116025 is 52061153339263.

The square root of 36293335116025 is 6024395.

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 9354660814521 + 26938674301504 = 3058539^2 + 5190248^2 .

It is not a de Polignac number, because 36293335116025 - 2⁵ = 36293335115993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36293335116025.

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, 391539334 + ... + 391632016.

Almost surely, 2^{36293335116025} is an apocalyptic number.

36293335116025 is the 6024395-th square number.

36293335116025 is the 3012198-th centered octagonal number.

It is an amenable number.

36293335116025 is a deficient number, since it is larger than the sum of its proper divisors (12439046328404).

36293335116025 is an frugal number, since it uses more digits than its factorization.

36293335116025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185402 (or 92701 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 49.

It can be divided in two parts, 3629333511 and 6025, that added together give a square (3629339536 = 60244²).

The spelling of 36293335116025 in words is "thirty-six trillion, two hundred ninety-three billion, three hundred thirty-five million, one hundred sixteen thousand, twenty-five".