513400083 has 32 divisors (see below), whose sum is σ = 850083840. Its totient is φ = 268958880.

The previous prime is 513400081. The next prime is 513400109. The reversal of 513400083 is 380004315.

It is not a de Polignac number, because 513400083 - 2¹ = 513400081 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 8385 + ... + 33122.

It is an arithmetic number, because the mean of its divisors is an integer number (26565120).

Almost surely, 2^513400083 is an apocalyptic number.

513400083 is a deficient number, since it is larger than the sum of its proper divisors (336683757).

513400083 is a wasteful number, since it uses less digits than its factorization.

513400083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41567.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 513400083 is about 22658.3336324629. Note that the first 3 decimals coincide. The cubic root of 513400083 is about 800.7285462199.

Adding to 513400083 its reverse (380004315), we get a palindrome (893404398).

The spelling of 513400083 in words is "five hundred thirteen million, four hundred thousand, eighty-three".