45035206225 has 9 divisors (see below), whose sum is σ = 55844971483. Its totient is φ = 36027316120.

The previous prime is 45035206199. The next prime is 45035206253. The reversal of 45035206225 is 52260253054.

The square root of 45035206225 is 212215.

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., 16212674241 + 28822531984 = 127329^2 + 169772^2 .

It is not a de Polignac number, because 45035206225 - 2¹⁷ = 45035075153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1039854 + ... + 1082296.

Almost surely, 2^45035206225 is an apocalyptic number.

45035206225 is the 212215-th square number.

45035206225 is the 106108-th centered octagonal number.

It is an amenable number.

45035206225 is a deficient number, since it is larger than the sum of its proper divisors (10809765258).

45035206225 is an frugal number, since it uses more digits than its factorization.

45035206225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84896 (or 42448 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 45035206225 its reverse (52260253054), we get a palindrome (97295459279).

The spelling of 45035206225 in words is "forty-five billion, thirty-five million, two hundred six thousand, two hundred twenty-five".