512137080 has 448 divisors, whose sum is σ = 2137383360. Its totient is φ = 107495424.

The previous prime is 512137069. The next prime is 512137103. The reversal of 512137080 is 80731215.

512137080 is a `hidden beast` number, since 512 + 1 + 3 + 70 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2653464 + ... + 2653656.

It is an arithmetic number, because the mean of its divisors is an integer number (4770945).

Almost surely, 2^512137080 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 512137080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068691680).

512137080 is an abundant number, since it is smaller than the sum of its proper divisors (1625246280).

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

512137080 is a wasteful number, since it uses less digits than its factorization.

512137080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 512137080 is about 22630.4458639241. The cubic root of 512137080 is about 800.0713894626.

Adding to 512137080 its reverse (80731215), we get a palindrome (592868295).

The spelling of 512137080 in words is "five hundred twelve million, one hundred thirty-seven thousand, eighty".