510920982 has 192 divisors, whose sum is σ = 1417328640. Its totient is φ = 130636800.

The previous prime is 510920981. The next prime is 510920999. The reversal of 510920982 is 289029015.

It is a super-2 number, since 2×510920982² = 522080499695688648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510920981) 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 95 ways as a sum of consecutive naturals, for example, 1515918 + ... + 1516254.

It is an arithmetic number, because the mean of its divisors is an integer number (7381920).

Almost surely, 2^510920982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510920982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708664320).

510920982 is an abundant number, since it is smaller than the sum of its proper divisors (906407658).

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

510920982 is a wasteful number, since it uses less digits than its factorization.

510920982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 510920982 is about 22603.5612680834. The cubic root of 510920982 is about 799.4376162066.

Adding to 510920982 its reverse (289029015), we get a palindrome (799949997).

The spelling of 510920982 in words is "five hundred ten million, nine hundred twenty thousand, nine hundred eighty-two".