385553342025 has 36 divisors (see below), whose sum is σ = 690603737148. Its totient is φ = 205618068480.

The previous prime is 385553342017. The next prime is 385553342039. The reversal of 385553342025 is 520243355583.

385553342025 is a `hidden beast` number, since 3 + 8 + 55 + 533 + 42 + 0 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10682462736 + 374870879289 = 103356^2 + 612267^2 .

It is not a de Polignac number, because 385553342025 - 2³ = 385553342017 is a prime.

It is a super-2 number, since 2×385553342025² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6882529 + ... + 6938321.

It is an arithmetic number, because the mean of its divisors is an integer number (19183437143).

Almost surely, 2^385553342025 is an apocalyptic number.

It is an amenable number.

385553342025 is a deficient number, since it is larger than the sum of its proper divisors (305050395123).

385553342025 is a wasteful number, since it uses less digits than its factorization.

385553342025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86522 (or 86514 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 385553342025 in words is "three hundred eighty-five billion, five hundred fifty-three million, three hundred forty-two thousand, twenty-five".