510126540 has 192 divisors, whose sum is σ = 1798917120. Its totient is φ = 104924160.

The previous prime is 510126517. The next prime is 510126541. The reversal of 510126540 is 45621015.

It is a self number, because there is not a number n which added to its sum of digits gives 510126540.

It is not an unprimeable number, because it can be changed into a prime (510126541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 503074 + ... + 504086.

It is an arithmetic number, because the mean of its divisors is an integer number (9369360).

Almost surely, 2^510126540 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 510126540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899458560).

510126540 is an abundant number, since it is smaller than the sum of its proper divisors (1288790580).

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

510126540 is a wasteful number, since it uses less digits than its factorization.

510126540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 510126540 is about 22585.9810502001. The cubic root of 510126540 is about 799.0230470226.

Adding to 510126540 its reverse (45621015), we get a palindrome (555747555).

The spelling of 510126540 in words is "five hundred ten million, one hundred twenty-six thousand, five hundred forty".