513564034004 has 48 divisors (see below), whose sum is σ = 1053454381056. Its totient is φ = 214481282400.

The previous prime is 513564033991. The next prime is 513564034007. The reversal of 513564034004 is 400430465315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513564034007) 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, 24089 + ... + 1013759.

It is an arithmetic number, because the mean of its divisors is an integer number (21946966272).

Almost surely, 2^513564034004 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 513564034004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526727190528).

513564034004 is an abundant number, since it is smaller than the sum of its proper divisors (539890347052).

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

513564034004 is a wasteful number, since it uses less digits than its factorization.

513564034004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990156 (or 990154 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 513564034004 its reverse (400430465315), we get a palindrome (913994499319).

The spelling of 513564034004 in words is "five hundred thirteen billion, five hundred sixty-four million, thirty-four thousand, four".