515429228672 has 216 divisors, whose sum is σ = 1121763466845. Its totient is φ = 235877283840.

The previous prime is 515429228663. The next prime is 515429228693. The reversal of 515429228672 is 276822924515.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 460736858176 + 54692370496 = 678776^2 + 233864^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=507656.

It is a Duffinian number.

Its product of digits (4838400) is a multiple of the sum of its prime factors (300).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5791339604 + ... + 5791339692.

Almost surely, 2^515429228672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515429228672

515429228672 is an abundant number, since it is smaller than the sum of its proper divisors (606334238173).

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

515429228672 is an frugal number, since it uses more digits than its factorization.

515429228672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 145 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 53.

The spelling of 515429228672 in words is "five hundred fifteen billion, four hundred twenty-nine million, two hundred twenty-eight thousand, six hundred seventy-two".