205020241504425 has 72 divisors (see below), whose sum is σ = 368311119834840. Its totient is φ = 109017933696000.

The previous prime is 205020241504349. The next prime is 205020241504457. The reversal of 205020241504425 is 524405142020502.

205020241504425 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 202 + 4 + 1 + 5 + 0 + 442 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 22900790117529 + 182119451386896 = 4785477^2 + 13495164^2 .

It is not a de Polignac number, because 205020241504425 - 2¹⁵ = 205020241471657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205020241504425.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101363911 + ... + 103366739.

Almost surely, 2^{205020241504425} is an apocalyptic number.

205020241504425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205020241504425 is a deficient number, since it is larger than the sum of its proper divisors (163290878330415).

205020241504425 is a wasteful number, since it uses less digits than its factorization.

205020241504425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004203 (or 2004195 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 205020241504425 its reverse (524405142020502), we get a palindrome (729425383524927).

The spelling of 205020241504425 in words is "two hundred five trillion, twenty billion, two hundred forty-one million, five hundred four thousand, four hundred twenty-five".