513353105 has 16 divisors (see below), whose sum is σ = 623545104. Its totient is φ = 405699840.

The previous prime is 513353101. The next prime is 513353143. The reversal of 513353105 is 501353315.

It can be written as a sum of positive squares in 8 ways, for example, as 314317441 + 199035664 = 17729^2 + 14108^2 .

It is not a de Polignac number, because 513353105 - 2² = 513353101 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513353101) 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, 140279 + ... + 143891.

It is an arithmetic number, because the mean of its divisors is an integer number (38971569).

Almost surely, 2^513353105 is an apocalyptic number.

It is an amenable number.

513353105 is a deficient number, since it is larger than the sum of its proper divisors (110191999).

513353105 is a wasteful number, since it uses less digits than its factorization.

513353105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956.

The product of its (nonzero) digits is 3375, while the sum is 26.

The square root of 513353105 is about 22657.2969482240. The cubic root of 513353105 is about 800.7041222705.

The spelling of 513353105 in words is "five hundred thirteen million, three hundred fifty-three thousand, one hundred five".