510072816 has 80 divisors (see below), whose sum is σ = 1440407808. Its totient is φ = 154252800.

The previous prime is 510072779. The next prime is 510072833. The reversal of 510072816 is 618270015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494221 + ... + 495251.

Almost surely, 2^510072816 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 510072816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720203904).

510072816 is an abundant number, since it is smaller than the sum of its proper divisors (930334992).

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

510072816 is a wasteful number, since it uses less digits than its factorization.

510072816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 510072816 is about 22584.7916970691. The cubic root of 510072816 is about 798.9949963215.

The spelling of 510072816 in words is "five hundred ten million, seventy-two thousand, eight hundred sixteen".