513331413201 has 16 divisors (see below), whose sum is σ = 767598379200. Its totient is φ = 339022613664.

The previous prime is 513331413173. The next prime is 513331413227. The reversal of 513331413201 is 102314133315.

513331413201 is a `hidden beast` number, since 5 + 1 + 3 + 331 + 4 + 1 + 320 + 1 = 666.

It is not a de Polignac number, because 513331413201 - 2⁹ = 513331412689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (513331413271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88839516 + ... + 88845293.

It is an arithmetic number, because the mean of its divisors is an integer number (47974898700).

Almost surely, 2^513331413201 is an apocalyptic number.

It is an amenable number.

513331413201 is a deficient number, since it is larger than the sum of its proper divisors (254266965999).

513331413201 is a wasteful number, since it uses less digits than its factorization.

513331413201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177684925 (or 177684919 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 513331413201 its reverse (102314133315), we get a palindrome (615645546516).

The spelling of 513331413201 in words is "five hundred thirteen billion, three hundred thirty-one million, four hundred thirteen thousand, two hundred one".