513205123122 has 24 divisors (see below), whose sum is σ = 1124438194620. Its totient is φ = 169146257280.

The previous prime is 513205123117. The next prime is 513205123127. The reversal of 513205123122 is 221321502315.

513205123122 is a `hidden beast` number, since 5 + 1 + 3 + 20 + 512 + 3 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (513205123117) and next prime (513205123127).

It can be written as a sum of positive squares in 2 ways, for example, as 429000110361 + 84205012761 = 654981^2 + 290181^2 .

It is not an unprimeable number, because it can be changed into a prime (513205123127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160174779 + ... + 160177982.

Almost surely, 2^513205123122 is an apocalyptic number.

513205123122 is an abundant number, since it is smaller than the sum of its proper divisors (611233071498).

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

513205123122 is a wasteful number, since it uses less digits than its factorization.

513205123122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320352858 (or 320352855 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 513205123122 its reverse (221321502315), we get a palindrome (734526625437).

The spelling of 513205123122 in words is "five hundred thirteen billion, two hundred five million, one hundred twenty-three thousand, one hundred twenty-two".