517013952 has 224 divisors, whose sum is σ = 1704148992. Its totient is φ = 134701056.

The previous prime is 517013951. The next prime is 517013957. The reversal of 517013952 is 259310715.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517013951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2218828 + ... + 2219060.

It is an arithmetic number, because the mean of its divisors is an integer number (7607808).

Almost surely, 2^517013952 is an apocalyptic number.

517013952 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 517013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852074496).

517013952 is an abundant number, since it is smaller than the sum of its proper divisors (1187135040).

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

517013952 is a wasteful number, since it uses less digits than its factorization.

517013952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 517013952 is about 22737.9408038635. The cubic root of 517013952 is about 802.6029549300.

The spelling of 517013952 in words is "five hundred seventeen million, thirteen thousand, nine hundred fifty-two".