1975306567936 has 243 divisors, whose sum is σ = 4440888699429. Its totient is φ = 876464848896.

The previous prime is 1975306567901. The next prime is 1975306567937. The reversal of 1975306567936 is 6397656035791.

The square root of 1975306567936 is 1405456.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1955119841536 + 20186726400 = 1398256^2 + 142080^2 .

It is not an unprimeable number, because it can be changed into a prime (1975306567937) 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 26 ways as a sum of consecutive naturals, for example, 8477710476 + ... + 8477710708.

Almost surely, 2^{1975306567936} is an apocalyptic number.

1975306567936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1975306567936 is the 1405456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1975306567936

1975306567936 is an abundant number, since it is smaller than the sum of its proper divisors (2465582131493).

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

1975306567936 is an frugal number, since it uses more digits than its factorization.

1975306567936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 192893400, while the sum is 67.

The spelling of 1975306567936 in words is "one trillion, nine hundred seventy-five billion, three hundred six million, five hundred sixty-seven thousand, nine hundred thirty-six".