517757142 has 64 divisors (see below), whose sum is σ = 1210636800. Its totient is φ = 144564480.

The previous prime is 517757137. The next prime is 517757147. The reversal of 517757142 is 241757715.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (517757137) and next prime (517757147).

It is a self number, because there is not a number n which added to its sum of digits gives 517757142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517757147) by changing a digit.

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, 458034 + ... + 459162.

It is an arithmetic number, because the mean of its divisors is an integer number (18916200).

Almost surely, 2^517757142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517757142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605318400).

517757142 is an abundant number, since it is smaller than the sum of its proper divisors (692879658).

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

517757142 is a wasteful number, since it uses less digits than its factorization.

517757142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381.

The product of its digits is 68600, while the sum is 39.

The square root of 517757142 is about 22754.2774440324. The cubic root of 517757142 is about 802.9873423055.

The spelling of 517757142 in words is "five hundred seventeen million, seven hundred fifty-seven thousand, one hundred forty-two".