513152105 has 8 divisors (see below), whose sum is σ = 630801864. Its totient is φ = 400508800.

The previous prime is 513152099. The next prime is 513152117. The reversal of 513152105 is 501251315.

It is a happy number.

513152105 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1125721 + 512026384 = 1061^2 + 22628^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 513152105 - 2¹⁰ = 513151081 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1251386 + ... + 1251795.

It is an arithmetic number, because the mean of its divisors is an integer number (78850233).

Almost surely, 2^513152105 is an apocalyptic number.

It is an amenable number.

513152105 is a deficient number, since it is larger than the sum of its proper divisors (117649759).

513152105 is a wasteful number, since it uses less digits than its factorization.

513152105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503227.

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 513152105 is about 22652.8608568543. The cubic root of 513152105 is about 800.5996051673.

The spelling of 513152105 in words is "five hundred thirteen million, one hundred fifty-two thousand, one hundred five".