61961161201 has 8 divisors (see below), whose sum is σ = 63105211008. Its totient is φ = 60821250000.

The previous prime is 61961161187. The next prime is 61961161219. The reversal of 61961161201 is 10216116916.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 61961161201 - 2²⁷ = 61826943473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61961167201) 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 7 ways as a sum of consecutive naturals, for example, 1004425 + ... + 1064326.

It is an arithmetic number, because the mean of its divisors is an integer number (7888151376).

Almost surely, 2^61961161201 is an apocalyptic number.

61961161201 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

61961161201 is a deficient number, since it is larger than the sum of its proper divisors (1144049807).

61961161201 is a wasteful number, since it uses less digits than its factorization.

61961161201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069303.

The product of its (nonzero) digits is 3888, while the sum is 34.

The spelling of 61961161201 in words is "sixty-one billion, nine hundred sixty-one million, one hundred sixty-one thousand, two hundred one".