513138261040 has 80 divisors (see below), whose sum is σ = 1212874871040. Its totient is φ = 201845468160.

The previous prime is 513138261029. The next prime is 513138261059. The reversal of 513138261040 is 40162831315.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 513138260987 and 513138261005.

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, 29500666 + ... + 29518054.

It is an arithmetic number, because the mean of its divisors is an integer number (15160935888).

Almost surely, 2^513138261040 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 513138261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606437435520).

513138261040 is an abundant number, since it is smaller than the sum of its proper divisors (699736610000).

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

513138261040 is a wasteful number, since it uses less digits than its factorization.

513138261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23510 (or 23504 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 513138261040 in words is "five hundred thirteen billion, one hundred thirty-eight million, two hundred sixty-one thousand, forty".