513312011 has 16 divisors (see below), whose sum is σ = 529787520. Its totient is φ = 497172480.

The previous prime is 513311969. The next prime is 513312013. The reversal of 513312011 is 110213315.

It is a cyclic number.

It is not a de Polignac number, because 513312011 - 2⁶ = 513311947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513312013) 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 15 ways as a sum of consecutive naturals, for example, 1997195 + ... + 1997451.

It is an arithmetic number, because the mean of its divisors is an integer number (33111720).

Almost surely, 2^513312011 is an apocalyptic number.

513312011 is a deficient number, since it is larger than the sum of its proper divisors (16475509).

513312011 is a wasteful number, since it uses less digits than its factorization.

513312011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 513312011 is about 22656.3900699118. The cubic root of 513312011 is about 800.6827562017.

Adding to 513312011 its reverse (110213315), we get a palindrome (623525326).

The spelling of 513312011 in words is "five hundred thirteen million, three hundred twelve thousand, eleven".