511515340 has 144 divisors (see below), whose sum is σ = 1344168000. Its totient is φ = 159957504.

The previous prime is 511515313. The next prime is 511515341. The reversal of 511515340 is 43515115.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (511515341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1465486 + ... + 1465834.

It is an arithmetic number, because the mean of its divisors is an integer number (9334500).

Almost surely, 2^511515340 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 511515340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672084000).

511515340 is an abundant number, since it is smaller than the sum of its proper divisors (832652660).

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

511515340 is a wasteful number, since it uses less digits than its factorization.

511515340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 511515340 is about 22616.7048882016. The cubic root of 511515340 is about 799.7474932255.

The spelling of 511515340 in words is "five hundred eleven million, five hundred fifteen thousand, three hundred forty".