622781397225 has 405 divisors, whose sum is σ = 1337207864949. Its totient is φ = 286372195200.

The previous prime is 622781397223. The next prime is 622781397289. The reversal of 622781397225 is 522793187226.

The square root of 622781397225 is 789165.

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

622781397225 is a `hidden beast` number, since 6 + 2 + 27 + 8 + 1 + 397 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 160522826409 + 462258570816 = 400653^2 + 679896^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 622781397225 - 2¹ = 622781397223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (622781397223) 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 404 ways as a sum of consecutive naturals, for example, 8771568940 + ... + 8771569010.

Almost surely, 2^622781397225 is an apocalyptic number.

622781397225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

622781397225 is the 789165-th square number.

622781397225 is the 394583-rd centered octagonal number.

It is an amenable number.

622781397225 is an abundant number, since it is smaller than the sum of its proper divisors (714426467724).

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

622781397225 is a wasteful number, since it uses less digits than its factorization.

622781397225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 111 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 622781397225 in words is "six hundred twenty-two billion, seven hundred eighty-one million, three hundred ninety-seven thousand, two hundred twenty-five".