513742387560 has 128 divisors (see below), whose sum is σ = 1560350736000. Its totient is φ = 135299275776.

The previous prime is 513742387493. The next prime is 513742387567. The reversal of 513742387560 is 65783247315.

It is not an unprimeable number, because it can be changed into a prime (513742387567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34543806 + ... + 34558674.

It is an arithmetic number, because the mean of its divisors is an integer number (12190240125).

Almost surely, 2^513742387560 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 513742387560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780175368000).

513742387560 is an abundant number, since it is smaller than the sum of its proper divisors (1046608348440).

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

513742387560 is a wasteful number, since it uses less digits than its factorization.

513742387560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18435 (or 18431 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 513742387560 in words is "five hundred thirteen billion, seven hundred forty-two million, three hundred eighty-seven thousand, five hundred sixty".