511617640 has 32 divisors (see below), whose sum is σ = 1152261000. Its totient is φ = 204447744.

The previous prime is 511617637. The next prime is 511617641. The reversal of 511617640 is 46716115.

It can be written as a sum of positive squares in 4 ways, for example, as 256704484 + 254913156 = 16022^2 + 15966^2 .

It is a super-4 number, since 4×511617640⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is not an unprimeable number, because it can be changed into a prime (511617641) 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 7 ways as a sum of consecutive naturals, for example, 39496 + ... + 50824.

Almost surely, 2^511617640 is an apocalyptic number.

It is an amenable number.

511617640 is an abundant number, since it is smaller than the sum of its proper divisors (640643360).

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

511617640 is a wasteful number, since it uses less digits than its factorization.

511617640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12469 (or 12465 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 511617640 is about 22618.9663777990. The cubic root of 511617640 is about 799.8008045723.

The spelling of 511617640 in words is "five hundred eleven million, six hundred seventeen thousand, six hundred forty".