505352345601 has 32 divisors (see below), whose sum is σ = 691049449728. Its totient is φ = 328367486720.

The previous prime is 505352345581. The next prime is 505352345621. The reversal of 505352345601 is 106543253505.

It is an interprime number because it is at equal distance from previous prime (505352345581) and next prime (505352345621).

It is a cyclic number.

It is not a de Polignac number, because 505352345601 - 2⁹ = 505352345089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505352345601.

It is not an unprimeable number, because it can be changed into a prime (505352345621) 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 in 31 ways as a sum of consecutive naturals, for example, 21193756 + ... + 21217586.

It is an arithmetic number, because the mean of its divisors is an integer number (21595295304).

Almost surely, 2^505352345601 is an apocalyptic number.

It is an amenable number.

505352345601 is a deficient number, since it is larger than the sum of its proper divisors (185697104127).

505352345601 is a wasteful number, since it uses less digits than its factorization.

505352345601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24761.

The product of its (nonzero) digits is 270000, while the sum is 39.

The spelling of 505352345601 in words is "five hundred five billion, three hundred fifty-two million, three hundred forty-five thousand, six hundred one".