503165627135057 has 2 divisors, whose sum is σ = 503165627135058. Its totient is φ = 503165627135056.

The previous prime is 503165627135033. The next prime is 503165627135063. The reversal of 503165627135057 is 750531726561305.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 327061473995281 + 176104153139776 = 18084841^2 + 13270424^2 .

It is a cyclic number.

It is not a de Polignac number, because 503165627135057 - 2¹² = 503165627130961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 503165627134993 and 503165627135011.

It is not a weakly prime, because it can be changed into another prime (503165627137057) 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, 251582813567528 + 251582813567529.

It is an arithmetic number, because the mean of its divisors is an integer number (251582813567529).

Almost surely, 2^{503165627135057} is an apocalyptic number.

It is an amenable number.

503165627135057 is a deficient number, since it is larger than the sum of its proper divisors (1).

503165627135057 is an equidigital number, since it uses as much as digits as its factorization.

503165627135057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19845000, while the sum is 56.

The spelling of 503165627135057 in words is "five hundred three trillion, one hundred sixty-five billion, six hundred twenty-seven million, one hundred thirty-five thousand, fifty-seven".