29963956201 has 27 divisors (see below), whose sum is σ = 31958774679. Its totient is φ = 28092215088.

The previous prime is 29963956199. The next prime is 29963956279. The reversal of 29963956201 is 10265936992.

The square root of 29963956201 is 173101.

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., 15712371801 + 14251584400 = 125349^2 + 119380^2 .

It is not a de Polignac number, because 29963956201 - 2¹ = 29963956199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29963956601) 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, 235936600 + ... + 235936726.

Almost surely, 2^29963956201 is an apocalyptic number.

29963956201 is the 173101-st square number.

29963956201 is the 86551-st centered octagonal number.

It is an amenable number.

29963956201 is a deficient number, since it is larger than the sum of its proper divisors (1994818478).

29963956201 is an frugal number, since it uses more digits than its factorization.

29963956201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 52.

The spelling of 29963956201 in words is "twenty-nine billion, nine hundred sixty-three million, nine hundred fifty-six thousand, two hundred one".