29627500903225 has 9 divisors (see below), whose sum is σ = 36738134867343. Its totient is φ = 23701978950120.

The previous prime is 29627500903109. The next prime is 29627500903229. The reversal of 29627500903225 is 52230900572692.

The square root of 29627500903225 is 5443115.

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., 10665900325161 + 18961600578064 = 3265869^2 + 4354492^2 .

It is not a de Polignac number, because 29627500903225 - 2¹⁹ = 29627500378937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29627500903229) 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, 26671264 + ... + 27759886.

Almost surely, 2^{29627500903225} is an apocalyptic number.

29627500903225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29627500903225 is the 5443115-th square number.

29627500903225 is the 2721558-th centered octagonal number.

It is an amenable number.

29627500903225 is a deficient number, since it is larger than the sum of its proper divisors (7110633964118).

29627500903225 is an frugal number, since it uses more digits than its factorization.

29627500903225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177256 (or 1088628 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 52.

The spelling of 29627500903225 in words is "twenty-nine trillion, six hundred twenty-seven billion, five hundred million, nine hundred three thousand, two hundred twenty-five".