515130611076 has 243 divisors, whose sum is σ = 1386734048973. Its totient is φ = 161229968640.

The previous prime is 515130611029. The next prime is 515130611077. The reversal of 515130611076 is 670116031515.

The square root of 515130611076 is 717726.

It is a perfect power (a square), and thus also a powerful number.

515130611076 is a `hidden beast` number, since 5 + 1 + 5 + 1 + 30 + 611 + 0 + 7 + 6 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 216621361476 + 298509249600 = 465426^2 + 546360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 515130611076.

It is not an unprimeable number, because it can be changed into a prime (515130611077) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8444764086 + ... + 8444764146.

Almost surely, 2^515130611076 is an apocalyptic number.

515130611076 is the 717726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515130611076

515130611076 is an abundant number, since it is smaller than the sum of its proper divisors (871603437897).

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

515130611076 is a wasteful number, since it uses less digits than its factorization.

515130611076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

Multiplying 515130611076 by its sum of digits (36), we get a square (18544701998736 = 4306356²).

515130611076 divided by its sum of digits (36) gives a square (14309183641 = 119621²).

The spelling of 515130611076 in words is "five hundred fifteen billion, one hundred thirty million, six hundred eleven thousand, seventy-six".