295412903361 has 45 divisors (see below), whose sum is σ = 445656917299. Its totient is φ = 195014617200.

The previous prime is 295412903339. The next prime is 295412903363. The reversal of 295412903361 is 163309214592.

The square root of 295412903361 is 543519.

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

295412903361 is a `hidden beast` number, since 2 + 95 + 412 + 90 + 3 + 3 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94690982961 + 200721920400 = 307719^2 + 448020^2 .

It is not a de Polignac number, because 295412903361 - 2¹⁷ = 295412772289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (295412903363) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 640808671 + ... + 640809131.

Almost surely, 2^295412903361 is an apocalyptic number.

295412903361 is the 543519-th square number.

295412903361 is the 271760-th centered octagonal number.

It is an amenable number.

295412903361 is a deficient number, since it is larger than the sum of its proper divisors (150244013938).

295412903361 is an frugal number, since it uses more digits than its factorization.

295412903361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 295412903361 in words is "two hundred ninety-five billion, four hundred twelve million, nine hundred three thousand, three hundred sixty-one".