505957545 has 24 divisors (see below), whose sum is σ = 877586112. Its totient is φ = 269661600.

The previous prime is 505957537. The next prime is 505957549. The reversal of 505957545 is 545759505.

505957545 is a `hidden beast` number, since 5 + 0 + 59 + 57 + 545 = 666.

It is not a de Polignac number, because 505957545 - 2³ = 505957537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 505957545.

It is not an unprimeable number, because it can be changed into a prime (505957549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87700 + ... + 93290.

It is an arithmetic number, because the mean of its divisors is an integer number (36566088).

Almost surely, 2^505957545 is an apocalyptic number.

It is an amenable number.

505957545 is a deficient number, since it is larger than the sum of its proper divisors (371628567).

505957545 is a wasteful number, since it uses less digits than its factorization.

505957545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7613 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 787500, while the sum is 45.

The square root of 505957545 is about 22493.5000611288. The cubic root of 505957545 is about 796.8404258125.

It can be divided in two parts, 50 and 5957545, that added together give a palindrome (5957595).

The spelling of 505957545 in words is "five hundred five million, nine hundred fifty-seven thousand, five hundred forty-five".