503164347613649 has 2 divisors, whose sum is σ = 503164347613650. Its totient is φ = 503164347613648.

The previous prime is 503164347613591. The next prime is 503164347613661. The reversal of 503164347613649 is 946316743461305.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274819971513025 + 228344376100624 = 16577695^2 + 15111068^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-503164347613649 is a prime.

It is a super-2 number, since 2×503164347613649² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 503164347613591 and 503164347613600.

It is not a weakly prime, because it can be changed into another prime (503164347612649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 251582173806824 + 251582173806825.

It is an arithmetic number, because the mean of its divisors is an integer number (251582173806825).

Almost surely, 2^{503164347613649} is an apocalyptic number.

It is an amenable number.

503164347613649 is a deficient number, since it is larger than the sum of its proper divisors (1).

503164347613649 is an equidigital number, since it uses as much as digits as its factorization.

503164347613649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 117573120, while the sum is 62.

The spelling of 503164347613649 in words is "five hundred three trillion, one hundred sixty-four billion, three hundred forty-seven million, six hundred thirteen thousand, six hundred forty-nine".