36953693892025 has 81 divisors (see below), whose sum is σ = 49213946449863. Its totient is φ = 27521617708800.

The previous prime is 36953693891999. The next prime is 36953693892121. The reversal of 36953693892025 is 52029839635963.

It is a happy number.

The square root of 36953693892025 is 6078955.

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

It can be written as a sum of positive squares in 13 ways, for example, as 27994543434169 + 8959150457856 = 5290987^2 + 2993184^2 .

It is not a de Polignac number, because 36953693892025 - 2¹¹ = 36953693889977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 35227543701 + ... + 35227544749.

Almost surely, 2^{36953693892025} is an apocalyptic number.

36953693892025 is the 6078955-th square number.

36953693892025 is the 3039478-th centered octagonal number.

It is an amenable number.

36953693892025 is a deficient number, since it is larger than the sum of its proper divisors (12260252557838).

36953693892025 is an frugal number, since it uses more digits than its factorization.

36953693892025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 566870400, while the sum is 70.

The spelling of 36953693892025 in words is "thirty-six trillion, nine hundred fifty-three billion, six hundred ninety-three million, eight hundred ninety-two thousand, twenty-five".