61041114225 has 243 divisors, whose sum is σ = 138482258499. Its totient is φ = 25615699200.

The previous prime is 61041114181. The next prime is 61041114241. The reversal of 61041114225 is 52241114016.

The square root of 61041114225 is 247065.

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

61041114225 is a `hidden beast` number, since 6 + 10 + 411 + 14 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 50556173409 + 10484940816 = 224847^2 + 102396^2 .

It is not a de Polignac number, because 61041114225 - 2¹³ = 61041106033 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 337243635 + ... + 337243815.

Almost surely, 2^61041114225 is an apocalyptic number.

61041114225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

61041114225 is the 247065-th square number.

61041114225 is the 123533-rd centered octagonal number.

It is an amenable number.

61041114225 is an abundant number, since it is smaller than the sum of its proper divisors (77441144274).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61041114225 is a wasteful number, since it uses less digits than its factorization.

61041114225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 61041114225 in words is "sixty-one billion, forty-one million, one hundred fourteen thousand, two hundred twenty-five".