513026712 has 96 divisors (see below), whose sum is σ = 1541592000. Its totient is φ = 152813760.

The previous prime is 513026671. The next prime is 513026713. The reversal of 513026712 is 217620315.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513026713) 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 23 ways as a sum of consecutive naturals, for example, 41239 + ... + 52217.

It is an arithmetic number, because the mean of its divisors is an integer number (16058250).

Almost surely, 2^513026712 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 513026712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770796000).

513026712 is an abundant number, since it is smaller than the sum of its proper divisors (1028565288).

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

513026712 is a wasteful number, since it uses less digits than its factorization.

513026712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11061 (or 11054 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 513026712 is about 22650.0929799416. The cubic root of 513026712 is about 800.5343887896.

The spelling of 513026712 in words is "five hundred thirteen million, twenty-six thousand, seven hundred twelve".