61206265201 has 27 divisors (see below), whose sum is σ = 67050826401. Its totient is φ = 55860715008.

The previous prime is 61206265187. The next prime is 61206265207. The reversal of 61206265201 is 10256260216.

The square root of 61206265201 is 247399.

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

61206265201 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 4 ways, for example, as 1132255201 + 60074010000 = 33649^2 + 245100^2 .

It is not a de Polignac number, because 61206265201 - 2¹³ = 61206257009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61206265207) 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, 136316625 + ... + 136317073.

Almost surely, 2^61206265201 is an apocalyptic number.

61206265201 is the 247399-th square number.

61206265201 is the 123700-th centered octagonal number.

It is an amenable number.

61206265201 is a deficient number, since it is larger than the sum of its proper divisors (5844561200).

61206265201 is an frugal number, since it uses more digits than its factorization.

61206265201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 61206265201 in words is "sixty-one billion, two hundred six million, two hundred sixty-five thousand, two hundred one".