61036484382225 has 189 divisors, whose sum is σ = 124753476803137. Its totient is φ = 29587821912000.

The previous prime is 61036484382163. The next prime is 61036484382371. The reversal of 61036484382225 is 52228348463016.

The square root of 61036484382225 is 7812585.

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

61036484382225 is a `hidden beast` number, since 6 + 1 + 0 + 36 + 4 + 8 + 4 + 382 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 781754820561 + 60254729561664 = 884169^2 + 7762392^2 .

It is not a de Polignac number, because 61036484382225 - 2³³ = 61027894447633 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 11601686095 + ... + 11601691355.

Almost surely, 2^{61036484382225} is an apocalyptic number.

61036484382225 is the 7812585-th square number.

61036484382225 is the 3906293-rd centered octagonal number.

It is an amenable number.

61036484382225 is an abundant number, since it is smaller than the sum of its proper divisors (63716992420912).

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

61036484382225 is an frugal number, since it uses more digits than its factorization.

61036484382225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10572 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 61036484382225 in words is "sixty-one trillion, thirty-six billion, four hundred eighty-four million, three hundred eighty-two thousand, two hundred twenty-five".