513765112 has 64 divisors (see below), whose sum is σ = 1126080000. Its totient is φ = 215208576.

The previous prime is 513765089. The next prime is 513765113. The reversal of 513765112 is 211567315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513765113) 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, 558589 + ... + 559507.

It is an arithmetic number, because the mean of its divisors is an integer number (17595000).

Almost surely, 2^513765112 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 513765112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563040000).

513765112 is an abundant number, since it is smaller than the sum of its proper divisors (612314888).

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

513765112 is a wasteful number, since it uses less digits than its factorization.

513765112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1144 counting only the distinct ones).

The product of its digits is 6300, while the sum is 31.

The square root of 513765112 is about 22666.3872727879. The cubic root of 513765112 is about 800.9182747278.

It can be divided in two parts, 513 and 765112, that added together give a square (765625 = 875²).

The spelling of 513765112 in words is "five hundred thirteen million, seven hundred sixty-five thousand, one hundred twelve".