512973552 has 240 divisors, whose sum is σ = 1749471360. Its totient is φ = 128024064.

The previous prime is 512973541. The next prime is 512973581. The reversal of 512973552 is 255379215.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 512973552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580503 + ... + 581385.

It is an arithmetic number, because the mean of its divisors is an integer number (7289464).

Almost surely, 2^512973552 is an apocalyptic number.

512973552 is a gapful number since it is divisible by the number (52) 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 512973552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874735680).

512973552 is an abundant number, since it is smaller than the sum of its proper divisors (1236497808).

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

512973552 is a wasteful number, since it uses less digits than its factorization.

512973552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 927 counting only the distinct ones).

The product of its digits is 94500, while the sum is 39.

The square root of 512973552 is about 22648.9194444238. The cubic root of 512973552 is about 800.5067372872.

The spelling of 512973552 in words is "five hundred twelve million, nine hundred seventy-three thousand, five hundred fifty-two".