511873340 has 48 divisors (see below), whose sum is σ = 1178319744. Its totient is φ = 185236800.

The previous prime is 511873337. The next prime is 511873363. The reversal of 511873340 is 43378115.

It is a super-5 number, since 5×511873340⁵ (a number of 45 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 511873297 and 511873306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40907 + ... + 51933.

It is an arithmetic number, because the mean of its divisors is an integer number (24548328).

Almost surely, 2^511873340 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 511873340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589159872).

511873340 is an abundant number, since it is smaller than the sum of its proper divisors (666446404).

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

511873340 is a wasteful number, since it uses less digits than its factorization.

511873340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11258 (or 11256 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 511873340 is about 22624.6180078250. The cubic root of 511873340 is about 799.9340258094.

The spelling of 511873340 in words is "five hundred eleven million, eight hundred seventy-three thousand, three hundred forty".