381510052225 has 81 divisors (see below), whose sum is σ = 510790067977. Its totient is φ = 282643504000.

The previous prime is 381510052223. The next prime is 381510052237. The reversal of 381510052225 is 522250015183.

The square root of 381510052225 is 617665.

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 160583731441 + 220926320784 = 400729^2 + 470028^2 .

It is not a de Polignac number, because 381510052225 - 2¹ = 381510052223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (381510052223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2912290410 + ... + 2912290540.

Almost surely, 2^381510052225 is an apocalyptic number.

381510052225 is the 617665-th square number.

381510052225 is the 308833-rd centered octagonal number.

It is an amenable number.

381510052225 is a deficient number, since it is larger than the sum of its proper divisors (129280015752).

381510052225 is an equidigital number, since it uses as much as digits as its factorization.

381510052225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The spelling of 381510052225 in words is "three hundred eighty-one billion, five hundred ten million, fifty-two thousand, two hundred twenty-five".