510135680 has 128 divisors (see below), whose sum is σ = 1263535200. Its totient is φ = 196853760.

The previous prime is 510135671. The next prime is 510135709. The reversal of 510135680 is 86531015.

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

It is a congruent number.

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, 2849831 + ... + 2850009.

Almost surely, 2^510135680 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 510135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631767600).

510135680 is an abundant number, since it is smaller than the sum of its proper divisors (753399520).

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

510135680 is a wasteful number, since it uses less digits than its factorization.

510135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 510135680 is about 22586.1833871949. The cubic root of 510135680 is about 799.0278190588.

Adding to 510135680 its reverse (86531015), we get a palindrome (596666695).

The spelling of 510135680 in words is "five hundred ten million, one hundred thirty-five thousand, six hundred eighty".