54101767500061 has 8 divisors (see below), whose sum is σ = 54705029469944. Its totient is φ = 53499434342400.

The previous prime is 54101767500029. The next prime is 54101767500103. The reversal of 54101767500061 is 16000576710145.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1710879696036 + 52390887804025 = 1308006^2 + 7238155^2 .

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 54101767500061 - 2⁵ = 54101767500029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54101767499990 and 54101767500017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54101767504061) 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, 232085910 + ... + 232318903.

It is an arithmetic number, because the mean of its divisors is an integer number (6838128683743).

Almost surely, 2^{54101767500061} is an apocalyptic number.

It is an amenable number.

54101767500061 is a deficient number, since it is larger than the sum of its proper divisors (603261969883).

54101767500061 is a wasteful number, since it uses less digits than its factorization.

54101767500061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464406111.

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 54101767500061 in words is "fifty-four trillion, one hundred one billion, seven hundred sixty-seven million, five hundred thousand, sixty-one".