513540405 has 64 divisors (see below), whose sum is σ = 1056422400. Its totient is φ = 234726336.

The previous prime is 513540371. The next prime is 513540409. The reversal of 513540405 is 504045315.

It is not a de Polignac number, because 513540405 - 2⁷ = 513540277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513540409) 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 63 ways as a sum of consecutive naturals, for example, 73191 + ... + 79899.

It is an arithmetic number, because the mean of its divisors is an integer number (16506600).

Almost surely, 2^513540405 is an apocalyptic number.

It is an amenable number.

513540405 is an abundant number, since it is smaller than the sum of its proper divisors (542881995).

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

513540405 is an frugal number, since it uses more digits than its factorization.

513540405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6742 (or 6724 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 513540405 is about 22661.4298975153. The cubic root of 513540405 is about 800.8014910179.

It can be divided in two parts, 51354040 and 5, that added together give a triangular number (51354045 = T₁₀₁₃₄).

The spelling of 513540405 in words is "five hundred thirteen million, five hundred forty thousand, four hundred five".