512049226752 has 1232 divisors, whose sum is σ = 1890131020800. Its totient is φ = 135444234240.

The previous prime is 512049226729. The next prime is 512049226763. The reversal of 512049226752 is 257622940215.

512049226752 is a `hidden beast` number, since 51 + 2 + 0 + 492 + 2 + 67 + 52 = 666.

It is a super-2 number, since 2×512049226752² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 512049226698 and 512049226707.

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, 4697699274 + ... + 4697699382.

Almost surely, 2^512049226752 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 512049226752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945065510400).

512049226752 is an abundant number, since it is smaller than the sum of its proper divisors (1378081794048).

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

512049226752 is a wasteful number, since it uses less digits than its factorization.

512049226752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 512049226752 in words is "five hundred twelve billion, forty-nine million, two hundred twenty-six thousand, seven hundred fifty-two".