517025652 has 96 divisors (see below), whose sum is σ = 1422489600. Its totient is φ = 144094080.

The previous prime is 517025629. The next prime is 517025711. The reversal of 517025652 is 256520715.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 862849 + ... + 863447.

It is an arithmetic number, because the mean of its divisors is an integer number (14817600).

Almost surely, 2^517025652 is an apocalyptic number.

517025652 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 517025652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711244800).

517025652 is an abundant number, since it is smaller than the sum of its proper divisors (905463948).

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

517025652 is a wasteful number, since it uses less digits than its factorization.

517025652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 517025652 is about 22738.1980816423. The cubic root of 517025652 is about 802.6090091726.

The spelling of 517025652 in words is "five hundred seventeen million, twenty-five thousand, six hundred fifty-two".