291772005382225 has 9 divisors (see below), whose sum is σ = 361797392578267. Its totient is φ = 233417535980440.

The previous prime is 291772005382211. The next prime is 291772005382243. The reversal of 291772005382225 is 522283500277192.

The square root of 291772005382225 is 17081335.

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

It can be written as a sum of positive squares in only one way, i.e., 105037921937601 + 186734083444624 = 10248801^2 + 13665068^2 .

It is not a de Polignac number, because 291772005382225 - 2³⁹ = 291222249568337 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83698542 + ... + 87114808.

Almost surely, 2^{291772005382225} is an apocalyptic number.

291772005382225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

291772005382225 is the 17081335-th square number.

291772005382225 is the 8540668-th centered octagonal number.

It is an amenable number.

291772005382225 is a deficient number, since it is larger than the sum of its proper divisors (70025387196042).

291772005382225 is an frugal number, since it uses more digits than its factorization.

291772005382225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6832544 (or 3416272 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 291772005382225 in words is "two hundred ninety-one trillion, seven hundred seventy-two billion, five million, three hundred eighty-two thousand, two hundred twenty-five".