513883028123 has 16 divisors (see below), whose sum is σ = 554433193440. Its totient is φ = 474481552896.

The previous prime is 513883028111. The next prime is 513883028137. The reversal of 513883028123 is 321820388315.

It is a cyclic number.

It is not a de Polignac number, because 513883028123 - 2¹⁶ = 513882962587 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513883028423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11607113 + ... + 11651301.

It is an arithmetic number, because the mean of its divisors is an integer number (34652074590).

Almost surely, 2^513883028123 is an apocalyptic number.

513883028123 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

513883028123 is a deficient number, since it is larger than the sum of its proper divisors (40550165317).

513883028123 is a wasteful number, since it uses less digits than its factorization.

513883028123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57166.

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 513883028123 in words is "five hundred thirteen billion, eight hundred eighty-three million, twenty-eight thousand, one hundred twenty-three".