516131977374 has 192 divisors, whose sum is σ = 1300376495040. Its totient is φ = 150736204800.

The previous prime is 516131977369. The next prime is 516131977379. The reversal of 516131977374 is 473779131615.

It is a happy number.

516131977374 is a `hidden beast` number, since 5 + 1 + 613 + 19 + 7 + 7 + 3 + 7 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (516131977369) and next prime (516131977379).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 516131977374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516131977379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43656384 + ... + 43668204.

It is an arithmetic number, because the mean of its divisors is an integer number (6772794245).

Almost surely, 2^516131977374 is an apocalyptic number.

516131977374 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 516131977374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650188247520).

516131977374 is an abundant number, since it is smaller than the sum of its proper divisors (784244517666).

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

516131977374 is a wasteful number, since it uses less digits than its factorization.

516131977374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11964 (or 11917 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 54.

The spelling of 516131977374 in words is "five hundred sixteen billion, one hundred thirty-one million, nine hundred seventy-seven thousand, three hundred seventy-four".