513114012 has 72 divisors (see below), whose sum is σ = 1339818480. Its totient is φ = 165473280.

The previous prime is 513114011. The next prime is 513114059. The reversal of 513114012 is 210411315.

513114012 is a `hidden beast` number, since 513 + 1 + 140 + 12 = 666.

It is a super-2 number, since 2×513114012² = 526571978621472288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513114011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167212 + ... + 170252.

It is an arithmetic number, because the mean of its divisors is an integer number (18608590).

Almost surely, 2^513114012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513114012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669909240).

513114012 is an abundant number, since it is smaller than the sum of its proper divisors (826704468).

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

513114012 is a wasteful number, since it uses less digits than its factorization.

513114012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 513114012 is about 22652.0200423715. The cubic root of 513114012 is about 800.5797942801.

Adding to 513114012 its reverse (210411315), we get a palindrome (723525327).

The spelling of 513114012 in words is "five hundred thirteen million, one hundred fourteen thousand, twelve".