51005106060001 has 2 divisors, whose sum is σ = 51005106060002. Its totient is φ = 51005106060000.

The previous prime is 51005106059983. The next prime is 51005106060019. The reversal of 51005106060001 is 10006060150015.

It is a balanced prime because it is at equal distance from previous prime (51005106059983) and next prime (51005106060019).

It can be written as a sum of positive squares in only one way, i.e., 32398306186401 + 18606799873600 = 5691951^2 + 4313560^2 .

It is a cyclic number.

It is not a de Polignac number, because 51005106060001 - 2²¹ = 51005103962849 is a prime.

It is not a weakly prime, because it can be changed into another prime (51005106060901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25502553030000 + 25502553030001.

It is an arithmetic number, because the mean of its divisors is an integer number (25502553030001).

Almost surely, 2^{51005106060001} is an apocalyptic number.

It is an amenable number.

51005106060001 is a deficient number, since it is larger than the sum of its proper divisors (1).

51005106060001 is an equidigital number, since it uses as much as digits as its factorization.

51005106060001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 51005106060001 in words is "fifty-one trillion, five billion, one hundred six million, sixty thousand, one".