505124313140345 has 32 divisors (see below), whose sum is σ = 621370265040000. Its totient is φ = 393965971909120.

The previous prime is 505124313140309. The next prime is 505124313140393. The reversal of 505124313140345 is 543041313421505.

It is not a de Polignac number, because 505124313140345 - 2⁶ = 505124313140281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

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, 4281054611 + ... + 4281172599.

It is an arithmetic number, because the mean of its divisors is an integer number (19417820782500).

Almost surely, 2^{505124313140345} is an apocalyptic number.

It is an amenable number.

505124313140345 is a deficient number, since it is larger than the sum of its proper divisors (116245951899655).

505124313140345 is a wasteful number, since it uses less digits than its factorization.

505124313140345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132553.

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 505124313140345 in words is "five hundred five trillion, one hundred twenty-four billion, three hundred thirteen million, one hundred forty thousand, three hundred forty-five".