503165627135013 has 32 divisors (see below), whose sum is σ = 699664516319232. Its totient is φ = 321347748052800.

The previous prime is 503165627134999. The next prime is 503165627135029. The reversal of 503165627135013 is 310531726561305.

It is a happy number.

It is not a de Polignac number, because 503165627135013 - 2⁹ = 503165627134501 is a prime.

It is a super-2 number, since 2×503165627135013² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503165627135033) 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 in 31 ways as a sum of consecutive naturals, for example, 37109023 + ... + 48820188.

It is an arithmetic number, because the mean of its divisors is an integer number (21864516134976).

Almost surely, 2^{503165627135013} is an apocalyptic number.

It is an amenable number.

503165627135013 is a deficient number, since it is larger than the sum of its proper divisors (196498889184219).

503165627135013 is a wasteful number, since it uses less digits than its factorization.

503165627135013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85930065.

The product of its (nonzero) digits is 1701000, while the sum is 48.

The spelling of 503165627135013 in words is "five hundred three trillion, one hundred sixty-five billion, six hundred twenty-seven million, one hundred thirty-five thousand, thirteen".