505600007 has 32 divisors (see below), whose sum is σ = 600929280. Its totient is φ = 420555520.

The previous prime is 505600001. The next prime is 505600031. The reversal of 505600007 is 700006505.

It is not a de Polignac number, because 505600007 - 2⁸ = 505599751 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505600001) 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 31 ways as a sum of consecutive naturals, for example, 1004918 + ... + 1005420.

It is an arithmetic number, because the mean of its divisors is an integer number (18779040).

Almost surely, 2^505600007 is an apocalyptic number.

505600007 is a deficient number, since it is larger than the sum of its proper divisors (95329273).

505600007 is a wasteful number, since it uses less digits than its factorization.

505600007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703.

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 505600007 is about 22485.5510717438. The cubic root of 505600007 is about 796.6526841925.

The spelling of 505600007 in words is "five hundred five million, six hundred thousand, seven".