61189443225 has 135 divisors (see below), whose sum is σ = 118984094383. Its totient is φ = 31084875360.

The previous prime is 61189443197. The next prime is 61189443233. The reversal of 61189443225 is 52234498116.

The square root of 61189443225 is 247365.

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

61189443225 is a `hidden beast` number, since 6 + 1 + 189 + 443 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22028199561 + 39161243664 = 148419^2 + 197892^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 61189443225 - 2¹¹ = 61189441177 is a prime.

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

It is a Duffinian number.

Its product of digits (414720) is a multiple of the sum of its prime divisors (270).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 256022656 + ... + 256022894.

Almost surely, 2^61189443225 is an apocalyptic number.

61189443225 is the 247365-th square number.

61189443225 is the 123683-rd centered octagonal number.

It is an amenable number.

61189443225 is a deficient number, since it is larger than the sum of its proper divisors (57794651158).

61189443225 is an equidigital number, since it uses as much as digits as its factorization.

61189443225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 270 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 61189443225 in words is "sixty-one billion, one hundred eighty-nine million, four hundred forty-three thousand, two hundred twenty-five".