513561116140 has 96 divisors (see below), whose sum is σ = 1214050239360. Its totient is φ = 181445062656.

The previous prime is 513561116083. The next prime is 513561116149. The reversal of 513561116140 is 41611165315.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 513561116096 and 513561116105.

It is not an unprimeable number, because it can be changed into a prime (513561116149) 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, 205095 + ... + 1034014.

It is an arithmetic number, because the mean of its divisors is an integer number (12646356660).

Almost surely, 2^513561116140 is an apocalyptic number.

It is an amenable number.

513561116140 is an abundant number, since it is smaller than the sum of its proper divisors (700489123220).

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

513561116140 is a wasteful number, since it uses less digits than its factorization.

513561116140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239211 (or 1239209 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 513561116140 in words is "five hundred thirteen billion, five hundred sixty-one million, one hundred sixteen thousand, one hundred forty".