513032772 has 48 divisors (see below), whose sum is σ = 1369690112. Its totient is φ = 146409120.

The previous prime is 513032743. The next prime is 513032801. The reversal of 513032772 is 277230315.

It is an interprime number because it is at equal distance from previous prime (513032743) and next prime (513032801).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80163 + ... + 86325.

Almost surely, 2^513032772 is an apocalyptic number.

It is an amenable number.

513032772 is an abundant number, since it is smaller than the sum of its proper divisors (856657340).

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

513032772 is a wasteful number, since it uses less digits than its factorization.

513032772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 513032772 is about 22650.2267538318. The cubic root of 513032772 is about 800.5375408148.

The spelling of 513032772 in words is "five hundred thirteen million, thirty-two thousand, seven hundred seventy-two".