516142746 has 128 divisors (see below), whose sum is σ = 1433272320. Its totient is φ = 134265600.

The previous prime is 516142709. The next prime is 516142789. The reversal of 516142746 is 647241615.

It is a self number, because there is not a number n which added to its sum of digits gives 516142746.

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 63 ways as a sum of consecutive naturals, for example, 197911 + ... + 200501.

It is an arithmetic number, because the mean of its divisors is an integer number (11197440).

Almost surely, 2^516142746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516142746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716636160).

516142746 is an abundant number, since it is smaller than the sum of its proper divisors (917129574).

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

516142746 is a wasteful number, since it uses less digits than its factorization.

516142746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2651 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 516142746 is about 22718.7751870562. The cubic root of 516142746 is about 802.1518867477.

The spelling of 516142746 in words is "five hundred sixteen million, one hundred forty-two thousand, seven hundred forty-six".