513202340412544 has 128 divisors (see below), whose sum is σ = 1068136780423680. Its totient is φ = 245148092006400.

The previous prime is 513202340412539. The next prime is 513202340412583. The reversal of 513202340412544 is 445214043202315.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×513202340412544² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513202340412497 and 513202340412506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9099142744 + ... + 9099199144.

It is an arithmetic number, because the mean of its divisors is an integer number (8344818597060).

Almost surely, 2^{513202340412544} 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 513202340412544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534068390211840).

513202340412544 is an abundant number, since it is smaller than the sum of its proper divisors (554934440011136).

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

513202340412544 is a wasteful number, since it uses less digits than its factorization.

513202340412544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60118 (or 60106 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 513202340412544 its reverse (445214043202315), we get a palindrome (958416383614859).

The spelling of 513202340412544 in words is "five hundred thirteen trillion, two hundred two billion, three hundred forty million, four hundred twelve thousand, five hundred forty-four".