385436097225 has 27 divisors (see below), whose sum is σ = 690375556533. Its totient is φ = 205560951840.

The previous prime is 385436097223. The next prime is 385436097227. The reversal of 385436097225 is 522790634583.

The square root of 385436097225 is 620835.

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

385436097225 is a `hidden beast` number, since 3 + 8 + 5 + 4 + 3 + 609 + 7 + 2 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (385436097223) and next prime (385436097227).

It can be written as a sum of positive squares in 4 ways, for example, as 1640979081 + 383795118144 = 40509^2 + 619512^2 .

It is not a de Polignac number, because 385436097225 - 2¹ = 385436097223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (385436097223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9291831 + ... + 9333219.

Almost surely, 2^385436097225 is an apocalyptic number.

385436097225 is the 620835-th square number.

385436097225 is the 310418-th centered octagonal number.

It is an amenable number.

385436097225 is a deficient number, since it is larger than the sum of its proper divisors (304939459308).

385436097225 is an frugal number, since it uses more digits than its factorization.

385436097225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82794 (or 41397 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 385436097225 in words is "three hundred eighty-five billion, four hundred thirty-six million, ninety-seven thousand, two hundred twenty-five".