513608001 has 16 divisors (see below), whose sum is σ = 699326784. Its totient is φ = 335177024.

The previous prime is 513607987. The next prime is 513608003. The reversal of 513608001 is 100806315.

It is a cyclic number.

It is not a de Polignac number, because 513608001 - 2⁹ = 513607489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513608003) 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, 70795 + ... + 77711.

It is an arithmetic number, because the mean of its divisors is an integer number (43707924).

Almost surely, 2^513608001 is an apocalyptic number.

It is an amenable number.

513608001 is a deficient number, since it is larger than the sum of its proper divisors (185718783).

513608001 is a wasteful number, since it uses less digits than its factorization.

513608001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7440.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 513608001 is about 22662.9212812470. The cubic root of 513608001 is about 800.8366252885.

The spelling of 513608001 in words is "five hundred thirteen million, six hundred eight thousand, one".