513400085 has 16 divisors (see below), whose sum is σ = 711623232. Its totient is φ = 351417600.

The previous prime is 513400081. The next prime is 513400109. The reversal of 513400085 is 580004315.

It is not a de Polignac number, because 513400085 - 2² = 513400081 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 (513400081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273611 + ... + 275480.

It is an arithmetic number, because the mean of its divisors is an integer number (44476452).

Almost surely, 2^513400085 is an apocalyptic number.

513400085 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513400085 is a deficient number, since it is larger than the sum of its proper divisors (198223147).

513400085 is a wasteful number, since it uses less digits than its factorization.

513400085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549124.

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 513400085 is about 22658.3336765968. Note that the first 3 decimals coincide. The cubic root of 513400085 is about 800.7285472597.

The spelling of 513400085 in words is "five hundred thirteen million, four hundred thousand, eighty-five".