516195792 has 150 divisors (see below), whose sum is σ = 1686431682. Its totient is φ = 147385728.

The previous prime is 516195791. The next prime is 516195793. The reversal of 516195792 is 297591615.

It is an interprime number because it is at equal distance from previous prime (516195791) and next prime (516195793).

It can be written as a sum of positive squares in only one way, i.e., 499254336 + 16941456 = 22344^2 + 4116^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516195791) 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 29 ways as a sum of consecutive naturals, for example, 344998 + ... + 346490.

Almost surely, 2^516195792 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 516195792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843215841).

516195792 is an abundant number, since it is smaller than the sum of its proper divisors (1170235890).

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

516195792 is a wasteful number, since it uses less digits than its factorization.

516195792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1505 counting only the distinct ones).

The product of its digits is 170100, while the sum is 45.

The square root of 516195792 is about 22719.9426055613. The cubic root of 516195792 is about 802.1793658974.

The spelling of 516195792 in words is "five hundred sixteen million, one hundred ninety-five thousand, seven hundred ninety-two".