36263965761 has 27 divisors (see below), whose sum is σ = 54416331073. Its totient is φ = 24165693900.

The previous prime is 36263965753. The next prime is 36263965781. The reversal of 36263965761 is 16756936263.

The square root of 36263965761 is 190431.

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

36263965761 is a `hidden beast` number, since 3 + 6 + 2 + 63 + 9 + 6 + 576 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 36263965761 - 2³ = 36263965753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36263965698 and 36263965707.

It is not an unprimeable number, because it can be changed into a prime (36263965781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15423736 + ... + 15426086.

Almost surely, 2^36263965761 is an apocalyptic number.

36263965761 is the 190431-st square number.

36263965761 is the 95216-th centered octagonal number.

It is an amenable number.

36263965761 is a deficient number, since it is larger than the sum of its proper divisors (18152365312).

36263965761 is an frugal number, since it uses more digits than its factorization.

36263965761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 2354 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The spelling of 36263965761 in words is "thirty-six billion, two hundred sixty-three million, nine hundred sixty-five thousand, seven hundred sixty-one".