511011015240 has 256 divisors, whose sum is σ = 1718902944000. Its totient is φ = 120441876480.

The previous prime is 511011015199. The next prime is 511011015247. The reversal of 511011015240 is 42510110115.

It is a super-2 number, since 2×511011015240² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511011015247) 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 63 ways as a sum of consecutive naturals, for example, 81510826 + ... + 81517094.

It is an arithmetic number, because the mean of its divisors is an integer number (6714464625).

Almost surely, 2^511011015240 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 511011015240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859451472000).

511011015240 is an abundant number, since it is smaller than the sum of its proper divisors (1207891928760).

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

511011015240 is a wasteful number, since it uses less digits than its factorization.

511011015240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8000 (or 7996 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 21.

Adding to 511011015240 its reverse (42510110115), we get a palindrome (553521125355).

The spelling of 511011015240 in words is "five hundred eleven billion, eleven million, fifteen thousand, two hundred forty".