513212073 has 16 divisors (see below), whose sum is σ = 747811776. Its totient is φ = 310487040.

The previous prime is 513212071. The next prime is 513212081. The reversal of 513212073 is 370212315.

It is not a de Polignac number, because 513212073 - 2¹ = 513212071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513212071) 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 15 ways as a sum of consecutive naturals, for example, 5565 + ... + 32517.

It is an arithmetic number, because the mean of its divisors is an integer number (46738236).

Almost surely, 2^513212073 is an apocalyptic number.

It is an amenable number.

513212073 is a deficient number, since it is larger than the sum of its proper divisors (234599703).

513212073 is a wasteful number, since it uses less digits than its factorization.

513212073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27544.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 513212073 is about 22654.1844479116. The cubic root of 513212073 is about 800.6307905193.

Adding to 513212073 its reverse (370212315), we get a palindrome (883424388).

It can be divided in two parts, 5132 and 12073, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 513212073 in words is "five hundred thirteen million, two hundred twelve thousand, seventy-three".