36132307225 has 27 divisors (see below), whose sum is σ = 52128608031. Its totient is φ = 24771877200.

The previous prime is 36132307223. The next prime is 36132307231. The reversal of 36132307225 is 52270323163.

The square root of 36132307225 is 190085.

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

It can be written as a sum of positive squares in only one way, i.e., 13007630601 + 23124676624 = 114051^2 + 152068^2 .

It is not a de Polignac number, because 36132307225 - 2¹ = 36132307223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36132307223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6650260 + ... + 6655690.

Almost surely, 2^36132307225 is an apocalyptic number.

36132307225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

36132307225 is the 190085-th square number.

36132307225 is the 95043-rd centered octagonal number.

It is an amenable number.

36132307225 is a deficient number, since it is larger than the sum of its proper divisors (15996300806).

36132307225 is an frugal number, since it uses more digits than its factorization.

36132307225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10886 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The spelling of 36132307225 in words is "thirty-six billion, one hundred thirty-two million, three hundred seven thousand, two hundred twenty-five".