205503555625 has 15 divisors (see below), whose sum is σ = 256811405763. Its totient is φ = 164393778000.

The previous prime is 205503555617. The next prime is 205503555637. The reversal of 205503555625 is 526555305502.

It is a happy number.

The square root of 205503555625 is 453325.

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

It can be written as a sum of positive squares in 7 ways, for example, as 172421766169 + 33081789456 = 415237^2 + 181884^2 .

It is not a de Polignac number, because 205503555625 - 2³ = 205503555617 is a prime.

It is a super-2 number, since 2×205503555625² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11324059 + ... + 11342191.

Almost surely, 2^205503555625 is an apocalyptic number.

205503555625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

205503555625 is the 453325-th square number.

205503555625 is the 226663-rd centered octagonal number.

It is an amenable number.

205503555625 is a deficient number, since it is larger than the sum of its proper divisors (51307850138).

205503555625 is an frugal number, since it uses more digits than its factorization.

205503555625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36286 (or 18138 counting only the distinct ones).

The product of its (nonzero) digits is 1125000, while the sum is 43.

The spelling of 205503555625 in words is "two hundred five billion, five hundred three million, five hundred fifty-five thousand, six hundred twenty-five".