205122939025 has 27 divisors (see below), whose sum is σ = 256096846011. Its totient is φ = 162980581680.

The previous prime is 205122939023. The next prime is 205122939061. The reversal of 205122939025 is 520939221502.

The square root of 205122939025 is 452905.

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

It can be written as a sum of positive squares in only one way, i.e., 73844258049 + 131278680976 = 271743^2 + 362324^2 .

It is not a de Polignac number, because 205122939025 - 2¹ = 205122939023 is a prime.

It is a super-2 number, since 2×205122939025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205122939023) 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, 541221286 + ... + 541221664.

Almost surely, 2^205122939025 is an apocalyptic number.

205122939025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

205122939025 is the 452905-th square number.

205122939025 is the 226453-rd centered octagonal number.

It is an amenable number.

205122939025 is a deficient number, since it is larger than the sum of its proper divisors (50973906986).

205122939025 is an frugal number, since it uses more digits than its factorization.

205122939025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 205122939025 in words is "two hundred five billion, one hundred twenty-two million, nine hundred thirty-nine thousand, twenty-five".