2168035380625 has 15 divisors (see below), whose sum is σ = 2709223010967. Its totient is φ = 1734398856000.

The previous prime is 2168035380559. The next prime is 2168035380629. The reversal of 2168035380625 is 5260835308612.

The square root of 2168035380625 is 1472425.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2147581804369 + 20453576256 = 1465463^2 + 143016^2 .

It is not a de Polignac number, because 2168035380625 - 2¹⁵ = 2168035347857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2168035380629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 36781177 + ... + 36840073.

Almost surely, 2^{2168035380625} is an apocalyptic number.

2168035380625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2168035380625 is the 1472425-th square number.

2168035380625 is the 736213-rd centered octagonal number.

It is an amenable number.

2168035380625 is a deficient number, since it is larger than the sum of its proper divisors (541187630342).

2168035380625 is an frugal number, since it uses more digits than its factorization.

2168035380625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117814 (or 58902 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

Multiplying 2168035380625 by its sum of digits (49), we get a square (106233733650625 = 10306975²).

The spelling of 2168035380625 in words is "two trillion, one hundred sixty-eight billion, thirty-five million, three hundred eighty thousand, six hundred twenty-five".