513705312 has 36 divisors (see below), whose sum is σ = 1460850300. Its totient is φ = 171235008.

The previous prime is 513705301. The next prime is 513705319. The reversal of 513705312 is 213507315.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513705319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 891562 + ... + 892137.

It is an arithmetic number, because the mean of its divisors is an integer number (40579175).

Almost surely, 2^513705312 is an apocalyptic number.

It is an amenable number.

513705312 is an abundant number, since it is smaller than the sum of its proper divisors (947144988).

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

513705312 is a wasteful number, since it uses less digits than its factorization.

513705312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783715 (or 1783704 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 513705312 is about 22665.0681004933. The cubic root of 513705312 is about 800.8871990669.

The spelling of 513705312 in words is "five hundred thirteen million, seven hundred five thousand, three hundred twelve".