506556505153 has 2 divisors, whose sum is σ = 506556505154. Its totient is φ = 506556505152.

The previous prime is 506556505141. The next prime is 506556505159. The reversal of 506556505153 is 351505655605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 503295181489 + 3261323664 = 709433^2 + 57108^2 .

It is a cyclic number.

It is not a de Polignac number, because 506556505153 - 2³⁷ = 369117551681 is a prime.

It is not a weakly prime, because it can be changed into another prime (506556505159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253278252576 + 253278252577.

It is an arithmetic number, because the mean of its divisors is an integer number (253278252577).

Almost surely, 2^506556505153 is an apocalyptic number.

It is an amenable number.

506556505153 is a deficient number, since it is larger than the sum of its proper divisors (1).

506556505153 is an equidigital number, since it uses as much as digits as its factorization.

506556505153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1687500, while the sum is 46.

The spelling of 506556505153 in words is "five hundred six billion, five hundred fifty-six million, five hundred five thousand, one hundred fifty-three".