510985512 has 48 divisors (see below), whose sum is σ = 1416111840. Its totient is φ = 166366368.

The previous prime is 510985511. The next prime is 510985513. The reversal of 510985512 is 215589015.

It is a happy number.

510985512 is a `hidden beast` number, since 5 + 10 + 98 + 551 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (510985511) and next prime (510985513).

It is a super-2 number, since 2×510985512² = 522212386947804288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (510985511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79428 + ... + 85619.

It is an arithmetic number, because the mean of its divisors is an integer number (29502330).

Almost surely, 2^510985512 is an apocalyptic number.

It is an amenable number.

510985512 is an abundant number, since it is smaller than the sum of its proper divisors (905126328).

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

510985512 is a wasteful number, since it uses less digits than its factorization.

510985512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165102 (or 165095 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The square root of 510985512 is about 22604.9886529500. The cubic root of 510985512 is about 799.4712714680.

The spelling of 510985512 in words is "five hundred ten million, nine hundred eighty-five thousand, five hundred twelve".