61950712201 has 45 divisors (see below), whose sum is σ = 76534306695. Its totient is φ = 49998831120.

The previous prime is 61950712171. The next prime is 61950712217. The reversal of 61950712201 is 10221705916.

The square root of 61950712201 is 248899.

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

61950712201 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., 55434348025 + 6516364176 = 235445^2 + 80724^2 .

It is not a de Polignac number, because 61950712201 - 2⁷ = 61950712073 is a prime.

It is a super-2 number, since 2×61950712201² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61950712301) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1674343555 + ... + 1674343591.

It is an arithmetic number, because the mean of its divisors is an integer number (1700762371).

Almost surely, 2^61950712201 is an apocalyptic number.

61950712201 is the 248899-th square number.

61950712201 is the 124450-th centered octagonal number.

It is an amenable number.

61950712201 is a deficient number, since it is larger than the sum of its proper divisors (14583594494).

61950712201 is an frugal number, since it uses more digits than its factorization.

61950712201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The spelling of 61950712201 in words is "sixty-one billion, nine hundred fifty million, seven hundred twelve thousand, two hundred one".