513401332620 has 96 divisors (see below), whose sum is σ = 1581168347136. Its totient is φ = 124460909760.

The previous prime is 513401332603. The next prime is 513401332627. The reversal of 513401332620 is 26233104315.

513401332620 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (513401332627) 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 31 ways as a sum of consecutive naturals, for example, 3134524 + ... + 3294243.

It is an arithmetic number, because the mean of its divisors is an integer number (16470503616).

Almost surely, 2^513401332620 is an apocalyptic number.

It is an amenable number.

513401332620 is an abundant number, since it is smaller than the sum of its proper divisors (1067767014516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513401332620 is a wasteful number, since it uses less digits than its factorization.

513401332620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428812 (or 6428788 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 513401332620 its reverse (26233104315), we get a palindrome (539634436935).

The spelling of 513401332620 in words is "five hundred thirteen billion, four hundred one million, three hundred thirty-two thousand, six hundred twenty".