513655840 has 24 divisors (see below), whose sum is σ = 1213512300. Its totient is φ = 205462272.

The previous prime is 513655787. The next prime is 513655841. The reversal of 513655840 is 48556315.

It can be written as a sum of positive squares in 2 ways, for example, as 439489296 + 74166544 = 20964^2 + 8612^2 .

It is a super-2 number, since 2×513655840² = 527684643932211200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 513655840.

It is not an unprimeable number, because it can be changed into a prime (513655841) by changing a digit.

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, 1605015 + ... + 1605334.

Almost surely, 2^513655840 is an apocalyptic number.

It is an amenable number.

513655840 is an abundant number, since it is smaller than the sum of its proper divisors (699856460).

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

513655840 is a wasteful number, since it uses less digits than its factorization.

513655840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210364 (or 3210356 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The square root of 513655840 is about 22663.9767031296. The cubic root of 513655840 is about 800.8614886303.

The spelling of 513655840 in words is "five hundred thirteen million, six hundred fifty-five thousand, eight hundred forty".