4515120511201 has 2 divisors, whose sum is σ = 4515120511202. Its totient is φ = 4515120511200.

The previous prime is 4515120511147. The next prime is 4515120511249. The reversal of 4515120511201 is 1021150215154.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4478095054801 + 37025456400 = 2116151^2 + 192420^2 .

It is a cyclic number.

It is not a de Polignac number, because 4515120511201 - 2⁷ = 4515120511073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4515120511201.

It is not a weakly prime, because it can be changed into another prime (4515120511271) 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 as a sum of consecutive naturals, namely, 2257560255600 + 2257560255601.

It is an arithmetic number, because the mean of its divisors is an integer number (2257560255601).

Almost surely, 2^{4515120511201} is an apocalyptic number.

It is an amenable number.

4515120511201 is a deficient number, since it is larger than the sum of its proper divisors (1).

4515120511201 is an equidigital number, since it uses as much as digits as its factorization.

4515120511201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2000, while the sum is 28.

Adding to 4515120511201 its reverse (1021150215154), we get a palindrome (5536270726355).

The spelling of 4515120511201 in words is "four trillion, five hundred fifteen billion, one hundred twenty million, five hundred eleven thousand, two hundred one".