511545216 has 128 divisors (see below), whose sum is σ = 1672473600. Its totient is φ = 134903808.

The previous prime is 511545193. The next prime is 511545217. The reversal of 511545216 is 612545115.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511545217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27625 + ... + 42263.

It is an arithmetic number, because the mean of its divisors is an integer number (13066200).

Almost surely, 2^511545216 is an apocalyptic number.

511545216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511545216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836236800).

511545216 is an abundant number, since it is smaller than the sum of its proper divisors (1160928384).

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

511545216 is a wasteful number, since it uses less digits than its factorization.

511545216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14676 (or 14664 counting only the distinct ones).

The product of its digits is 6000, while the sum is 30.

The square root of 511545216 is about 22617.3653638084. The cubic root of 511545216 is about 799.7630631664.

The spelling of 511545216 in words is "five hundred eleven million, five hundred forty-five thousand, two hundred sixteen".