513953540 has 12 divisors (see below), whose sum is σ = 1079302476. Its totient is φ = 205581408.

The previous prime is 513953521. The next prime is 513953563. The reversal of 513953540 is 45359315.

It can be written as a sum of positive squares in 2 ways, for example, as 406748224 + 107205316 = 20168^2 + 10354^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 513953540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12848819 + ... + 12848858.

It is an arithmetic number, because the mean of its divisors is an integer number (89941873).

Almost surely, 2^513953540 is an apocalyptic number.

It is an amenable number.

513953540 is an abundant number, since it is smaller than the sum of its proper divisors (565348936).

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

513953540 is a wasteful number, since it uses less digits than its factorization.

513953540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25697686 (or 25697684 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 35.

The square root of 513953540 is about 22670.5434429790. The cubic root of 513953540 is about 801.0161774328.

The spelling of 513953540 in words is "five hundred thirteen million, nine hundred fifty-three thousand, five hundred forty".