513249238629 has 6 divisors (see below), whose sum is σ = 741360011366. Its totient is φ = 342166159080.

The previous prime is 513249238609. The next prime is 513249238657. The reversal of 513249238629 is 926832942315.

513249238629 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 4 + 9 + 2 + 3 + 8 + 629 = 666.

It can be written as a sum of positive squares in only one way, i.e., 336861838404 + 176387400225 = 580398^2 + 419985^2 .

It is not a de Polignac number, because 513249238629 - 2¹³ = 513249230437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513249238609) 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 5 ways as a sum of consecutive naturals, for example, 28513846582 + ... + 28513846599.

Almost surely, 2^513249238629 is an apocalyptic number.

It is an amenable number.

513249238629 is a deficient number, since it is larger than the sum of its proper divisors (228110772737).

513249238629 is a wasteful number, since it uses less digits than its factorization.

513249238629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57027693187 (or 57027693184 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 513249238629 in words is "five hundred thirteen billion, two hundred forty-nine million, two hundred thirty-eight thousand, six hundred twenty-nine".