61957105801 has 8 divisors (see below), whose sum is σ = 63858079944. Its totient is φ = 60068050560.

The previous prime is 61957105747. The next prime is 61957105813. The reversal of 61957105801 is 10850175916.

It can be written as a sum of positive squares in 4 ways, for example, as 46326105225 + 15631000576 = 215235^2 + 125024^2 .

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 61957105801 - 2⁹ = 61957105289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61957105831) 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, 2969170 + ... + 2989963.

It is an arithmetic number, because the mean of its divisors is an integer number (7982259993).

Almost surely, 2^61957105801 is an apocalyptic number.

It is an amenable number.

61957105801 is a deficient number, since it is larger than the sum of its proper divisors (1900974143).

61957105801 is a wasteful number, since it uses less digits than its factorization.

61957105801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959451.

The product of its (nonzero) digits is 75600, while the sum is 43.

The spelling of 61957105801 in words is "sixty-one billion, nine hundred fifty-seven million, one hundred five thousand, eight hundred one".