506610401 has 16 divisors (see below), whose sum is σ = 585927168. Its totient is φ = 433641600.

The previous prime is 506610373. The next prime is 506610407. The reversal of 506610401 is 104016605.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-506610401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506610407) 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 15 ways as a sum of consecutive naturals, for example, 7460 + ... + 32693.

It is an arithmetic number, because the mean of its divisors is an integer number (36620448).

Almost surely, 2^506610401 is an apocalyptic number.

It is an amenable number.

506610401 is a deficient number, since it is larger than the sum of its proper divisors (79316767).

506610401 is a wasteful number, since it uses less digits than its factorization.

506610401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40232.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 506610401 is about 22508.0074862259. The cubic root of 506610401 is about 797.1830095361.

The spelling of 506610401 in words is "five hundred six million, six hundred ten thousand, four hundred one".