54515400100409 has 2 divisors, whose sum is σ = 54515400100410. Its totient is φ = 54515400100408.

The previous prime is 54515400100397. The next prime is 54515400100481. The reversal of 54515400100409 is 90400100451545.

54515400100409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48745810512400 + 5769589588009 = 6981820^2 + 2401997^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-54515400100409 is a prime.

It is not a weakly prime, because it can be changed into another prime (54515400100709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27257700050204 + 27257700050205.

It is an arithmetic number, because the mean of its divisors is an integer number (27257700050205).

Almost surely, 2^{54515400100409} is an apocalyptic number.

It is an amenable number.

54515400100409 is a deficient number, since it is larger than the sum of its proper divisors (1).

54515400100409 is an equidigital number, since it uses as much as digits as its factorization.

54515400100409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72000, while the sum is 38.

The spelling of 54515400100409 in words is "fifty-four trillion, five hundred fifteen billion, four hundred million, one hundred thousand, four hundred nine".