512849952 has 144 divisors (see below), whose sum is σ = 1535526720. Its totient is φ = 162049536.

The previous prime is 512849941. The next prime is 512849983. The reversal of 512849952 is 259948215.

It is a happy number.

512849952 is a `hidden beast` number, since 512 + 8 + 49 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 512849898 and 512849907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 920458 + ... + 921014.

It is an arithmetic number, because the mean of its divisors is an integer number (10663380).

Almost surely, 2^512849952 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 512849952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767763360).

512849952 is an abundant number, since it is smaller than the sum of its proper divisors (1022676768).

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

512849952 is a wasteful number, since it uses less digits than its factorization.

512849952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 724 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 512849952 is about 22646.1906730470. The cubic root of 512849952 is about 800.4424385983.

The spelling of 512849952 in words is "five hundred twelve million, eight hundred forty-nine thousand, nine hundred fifty-two".