2952053167716 has 135 divisors (see below), whose sum is σ = 7869975704283. Its totient is φ = 964915286400.

The previous prime is 2952053167711. The next prime is 2952053167733. The reversal of 2952053167716 is 6177613502592.

It is a happy number.

The square root of 2952053167716 is 1718154.

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

2952053167716 is a `hidden beast` number, since 2 + 9 + 5 + 20 + 531 + 6 + 77 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103060260900 + 2848992906816 = 321030^2 + 1687896^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2952053167711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1639118016 + ... + 1639119816.

Almost surely, 2^{2952053167716} is an apocalyptic number.

2952053167716 is the 1718154-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2952053167716

2952053167716 is an abundant number, since it is smaller than the sum of its proper divisors (4917922536567).

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

2952053167716 is an frugal number, since it uses more digits than its factorization.

2952053167716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 2952053167716 in words is "two trillion, nine hundred fifty-two billion, fifty-three million, one hundred sixty-seven thousand, seven hundred sixteen".