36000420001225 has 9 divisors (see below), whose sum is σ = 44640558001767. Its totient is φ = 28800312000840.

The previous prime is 36000420001223. The next prime is 36000420001319. The reversal of 36000420001225 is 52210002400063.

The square root of 36000420001225 is 6000035.

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., 12960151200441 + 23040268800784 = 3600021^2 + 4800028^2 .

It is not a de Polignac number, because 36000420001225 - 2¹ = 36000420001223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36000420001225.

It is not an unprimeable number, because it can be changed into a prime (36000420001223) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29400172 + ... + 30600178.

Almost surely, 2^{36000420001225} is an apocalyptic number.

36000420001225 is the 6000035-th square number.

36000420001225 is the 3000018-th centered octagonal number.

It is an amenable number.

36000420001225 is a deficient number, since it is larger than the sum of its proper divisors (8640138000542).

36000420001225 is an frugal number, since it uses more digits than its factorization.

36000420001225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400024 (or 1200012 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Multiplying 36000420001225 by its sum of digits (25), we get a square (900010500030625 = 30000175²).

36000420001225 divided by its sum of digits (25) gives a square (1440016800049 = 1200007²).

Adding to 36000420001225 its reverse (52210002400063), we get a palindrome (88210422401288).

The spelling of 36000420001225 in words is "thirty-six trillion, four hundred twenty million, one thousand, two hundred twenty-five".