511225968 has 240 divisors, whose sum is σ = 1567399680. Its totient is φ = 143109120.

The previous prime is 511225963. The next prime is 511226017. The reversal of 511225968 is 869522115.

It is a super-2 number, since 2×511225968² = 522703980715074048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511225963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5744068 + ... + 5744156.

It is an arithmetic number, because the mean of its divisors is an integer number (6530832).

Almost surely, 2^511225968 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 511225968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783699840).

511225968 is an abundant number, since it is smaller than the sum of its proper divisors (1056173712).

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

511225968 is a wasteful number, since it uses less digits than its factorization.

511225968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its digits is 43200, while the sum is 39.

The square root of 511225968 is about 22610.3066763810. The cubic root of 511225968 is about 799.5966550085.

The spelling of 511225968 in words is "five hundred eleven million, two hundred twenty-five thousand, nine hundred sixty-eight".