513301462001 has 8 divisors (see below), whose sum is σ = 517386566400. Its totient is φ = 509218884720.

The previous prime is 513301461989. The next prime is 513301462013. The reversal of 513301462001 is 100264103315.

It is an interprime number because it is at equal distance from previous prime (513301461989) and next prime (513301462013).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513301462001 - 2¹⁰ = 513301460977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513301462601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222881 + ... + 1037438.

It is an arithmetic number, because the mean of its divisors is an integer number (64673320800).

Almost surely, 2^513301462001 is an apocalyptic number.

It is an amenable number.

513301462001 is a deficient number, since it is larger than the sum of its proper divisors (4085104399).

513301462001 is a wasteful number, since it uses less digits than its factorization.

513301462001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263559.

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 513301462001 its reverse (100264103315), we get a palindrome (613565565316).

The spelling of 513301462001 in words is "five hundred thirteen billion, three hundred one million, four hundred sixty-two thousand, one".