225599350729 has 27 divisors (see below), whose sum is σ = 239298999303. Its totient is φ = 212666310912.

The previous prime is 225599350727. The next prime is 225599350783. The reversal of 225599350729 is 927053995522.

The square root of 225599350729 is 474973.

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

225599350729 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 only one way, i.e., 54660102025 + 170939248704 = 233795^2 + 413448^2 .

It is not a de Polignac number, because 225599350729 - 2¹ = 225599350727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225599350723) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1168908457 + ... + 1168908649.

Almost surely, 2^225599350729 is an apocalyptic number.

225599350729 is the 474973-rd square number.

225599350729 is the 237487-th centered octagonal number.

It is an amenable number.

225599350729 is a deficient number, since it is larger than the sum of its proper divisors (13699648574).

225599350729 is an frugal number, since it uses more digits than its factorization.

225599350729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 15309000, while the sum is 58.

The spelling of 225599350729 in words is "two hundred twenty-five billion, five hundred ninety-nine million, three hundred fifty thousand, seven hundred twenty-nine".