513551006001 has 48 divisors (see below), whose sum is σ = 823125888000. Its totient is φ = 305901479520.

The previous prime is 513551005999. The next prime is 513551006009. The reversal of 513551006001 is 100600155315.

513551006001 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 51 + 0 + 0 + 600 + 1 = 666.

It is not a de Polignac number, because 513551006001 - 2¹ = 513551005999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513551006009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46015660 + ... + 46026818.

It is an arithmetic number, because the mean of its divisors is an integer number (17148456000).

Almost surely, 2^513551006001 is an apocalyptic number.

It is an amenable number.

513551006001 is a deficient number, since it is larger than the sum of its proper divisors (309574881999).

513551006001 is a wasteful number, since it uses less digits than its factorization.

513551006001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19114 (or 19111 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 513551006001 in words is "five hundred thirteen billion, five hundred fifty-one million, six thousand, one".