513004324420 has 96 divisors (see below), whose sum is σ = 1249027153920. Its totient is φ = 173343838080.

The previous prime is 513004324369. The next prime is 513004324423. The reversal of 513004324420 is 24423400315.

It is a happy number.

It is a super-3 number, since 3×513004324420³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (513004324423) 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, 30994587 + ... + 31011133.

It is an arithmetic number, because the mean of its divisors is an integer number (13010699520).

Almost surely, 2^513004324420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513004324420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624513576960).

513004324420 is an abundant number, since it is smaller than the sum of its proper divisors (736022829500).

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

513004324420 is a wasteful number, since it uses less digits than its factorization.

513004324420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19753 (or 19751 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 513004324420 its reverse (24423400315), we get a palindrome (537427724735).

The spelling of 513004324420 in words is "five hundred thirteen billion, four million, three hundred twenty-four thousand, four hundred twenty".