381077809225 has 27 divisors (see below), whose sum is σ = 475242498549. Its totient is φ = 303126357600.

The previous prime is 381077809201. The next prime is 381077809331. The reversal of 381077809225 is 522908770183.

The square root of 381077809225 is 617315.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3669088329 + 377408720896 = 60573^2 + 614336^2 .

It is not a de Polignac number, because 381077809225 - 2¹⁹ = 381077284937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1021656139 + ... + 1021656511.

Almost surely, 2^381077809225 is an apocalyptic number.

381077809225 is the 617315-th square number.

381077809225 is the 308658-th centered octagonal number.

It is an amenable number.

381077809225 is a deficient number, since it is larger than the sum of its proper divisors (94164689324).

381077809225 is an frugal number, since it uses more digits than its factorization.

381077809225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 381077809225 in words is "three hundred eighty-one billion, seventy-seven million, eight hundred nine thousand, two hundred twenty-five".