513121116689 has 8 divisors (see below), whose sum is σ = 520703005992. Its totient is φ = 505554168960.

The previous prime is 513121116671. The next prime is 513121116709. The reversal of 513121116689 is 986611121315.

It can be written as a sum of positive squares in 4 ways, for example, as 300733785664 + 212387331025 = 548392^2 + 460855^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513121116689 - 2³⁶ = 444401639953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513121116889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3666194 + ... + 3803579.

It is an arithmetic number, because the mean of its divisors is an integer number (65087875749).

Almost surely, 2^513121116689 is an apocalyptic number.

It is an amenable number.

513121116689 is a deficient number, since it is larger than the sum of its proper divisors (7581889303).

513121116689 is an equidigital number, since it uses as much as digits as its factorization.

513121116689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7470787.

The product of its digits is 77760, while the sum is 44.

The spelling of 513121116689 in words is "five hundred thirteen billion, one hundred twenty-one million, one hundred sixteen thousand, six hundred eighty-nine".