36034516225 has 72 divisors (see below), whose sum is σ = 49358044008. Its totient is φ = 26004787200.

The previous prime is 36034516211. The next prime is 36034516241. The reversal of 36034516225 is 52261543063.

It can be written as a sum of positive squares in 36 ways, for example, as 35125131889 + 909384336 = 187417^2 + 30156^2 .

It is not a de Polignac number, because 36034516225 - 2¹³ = 36034508033 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64693647 + ... + 64694203.

It is an arithmetic number, because the mean of its divisors is an integer number (685528389).

Almost surely, 2^36034516225 is an apocalyptic number.

It is an amenable number.

36034516225 is a deficient number, since it is larger than the sum of its proper divisors (13323527783).

36034516225 is a wasteful number, since it uses less digits than its factorization.

36034516225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 36034516225 in words is "thirty-six billion, thirty-four million, five hundred sixteen thousand, two hundred twenty-five".