736618810225 has 9 divisors (see below), whose sum is σ = 913412645953. Its totient is φ = 589291615120.

The previous prime is 736618810181. The next prime is 736618810231. The reversal of 736618810225 is 522018816637.

It is a happy number.

The square root of 736618810225 is 858265.

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

736618810225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14146009969 + 722472800256 = 118937^2 + 849984^2 .

It is a de Polignac number, because none of the positive numbers 2^k-736618810225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4205499 + ... + 4377151.

Almost surely, 2^736618810225 is an apocalyptic number.

736618810225 is the 858265-th square number.

736618810225 is the 429133-rd centered octagonal number.

It is an amenable number.

736618810225 is a deficient number, since it is larger than the sum of its proper divisors (176793835728).

736618810225 is an frugal number, since it uses more digits than its factorization.

736618810225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343316 (or 171658 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 736618810225 by its sum of digits (49), we get a square (36094321701025 = 6007855²).

The spelling of 736618810225 in words is "seven hundred thirty-six billion, six hundred eighteen million, eight hundred ten thousand, two hundred twenty-five".