513352541 has 24 divisors (see below), whose sum is σ = 582049800. Its totient is φ = 452065536.

The previous prime is 513352537. The next prime is 513352579. The reversal of 513352541 is 145253315.

It can be written as a sum of positive squares in 12 ways, for example, as 128368900 + 384983641 = 11330^2 + 19621^2 .

It is not a de Polignac number, because 513352541 - 2² = 513352537 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513352501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330635 + ... + 332183.

It is an arithmetic number, because the mean of its divisors is an integer number (24252075).

Almost surely, 2^513352541 is an apocalyptic number.

It is an amenable number.

513352541 is a deficient number, since it is larger than the sum of its proper divisors (68697259).

513352541 is a wasteful number, since it uses less digits than its factorization.

513352541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1652 counting only the distinct ones).

The product of its digits is 9000, while the sum is 29.

The square root of 513352541 is about 22657.2845018992. The cubic root of 513352541 is about 800.7038290368.

The spelling of 513352541 in words is "five hundred thirteen million, three hundred fifty-two thousand, five hundred forty-one".