510545104000 has 128 divisors (see below), whose sum is σ = 1272291536880. Its totient is φ = 203743641600.

The previous prime is 510545103977. The next prime is 510545104001. The reversal of 510545104000 is 401545015.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7274042944 + 503271061056 = 85288^2 + 709416^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (510545104001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6891154 + ... + 6964846.

Almost surely, 2^510545104000 is an apocalyptic number.

510545104000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510545104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636145768440).

510545104000 is an abundant number, since it is smaller than the sum of its proper divisors (761746432880).

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

510545104000 is an equidigital number, since it uses as much as digits as its factorization.

510545104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74155 (or 74133 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

510545104000 divided by its product of nonzero digits (2000) gives a palindrome (255272552).

Adding to 510545104000 its reverse (401545015), we get a palindrome (510946649015).

The spelling of 510545104000 in words is "five hundred ten billion, five hundred forty-five million, one hundred four thousand".