51661016106001 has 32 divisors (see below), whose sum is σ = 55798296761088. Its totient is φ = 47654870538240.

The previous prime is 51661016105957. The next prime is 51661016106013. The reversal of 51661016106001 is 10060161016615.

It is not a de Polignac number, because 51661016106001 - 2¹³ = 51661016097809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51661016106101) 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 31 ways as a sum of consecutive naturals, for example, 169265131 + ... + 169570063.

It is an arithmetic number, because the mean of its divisors is an integer number (1743696773784).

Almost surely, 2^{51661016106001} is an apocalyptic number.

It is an amenable number.

51661016106001 is a deficient number, since it is larger than the sum of its proper divisors (4137280655087).

51661016106001 is a wasteful number, since it uses less digits than its factorization.

51661016106001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305881.

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 51661016106001 in words is "fifty-one trillion, six hundred sixty-one billion, sixteen million, one hundred six thousand, one".