511724116 has 48 divisors (see below), whose sum is σ = 944749008. Its totient is φ = 242278400.

The previous prime is 511724077. The next prime is 511724119. The reversal of 511724116 is 611427115.

It can be written as a sum of positive squares in 8 ways, for example, as 165019716 + 346704400 = 12846^2 + 18620^2 .

It is a super-4 number, since 4×511724116⁴ (a number of 36 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511724119) by changing a digit.

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, 981936 + ... + 982456.

It is an arithmetic number, because the mean of its divisors is an integer number (19682271).

Almost surely, 2^511724116 is an apocalyptic number.

It is an amenable number.

511724116 is a deficient number, since it is larger than the sum of its proper divisors (433024892).

511724116 is a wasteful number, since it uses less digits than its factorization.

511724116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 730 counting only the distinct ones).

The product of its digits is 1680, while the sum is 28.

The square root of 511724116 is about 22621.3199438052. The cubic root of 511724116 is about 799.8562846006.

The spelling of 511724116 in words is "five hundred eleven million, seven hundred twenty-four thousand, one hundred sixteen".