517038372 has 72 divisors (see below), whose sum is σ = 1343585880. Its totient is φ = 167546880.

The previous prime is 517038359. The next prime is 517038377. The reversal of 517038372 is 273830715.

It can be written as a sum of positive squares in 4 ways, for example, as 5645376 + 511392996 = 2376^2 + 22614^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (517038377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638704 + ... + 639512.

It is an arithmetic number, because the mean of its divisors is an integer number (18660915).

Almost surely, 2^517038372 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 517038372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671792940).

517038372 is an abundant number, since it is smaller than the sum of its proper divisors (826547508).

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

517038372 is a wasteful number, since it uses less digits than its factorization.

517038372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 517038372 is about 22738.4777854631. The cubic root of 517038372 is about 802.6155911174.

The spelling of 517038372 in words is "five hundred seventeen million, thirty-eight thousand, three hundred seventy-two".