2061478566225 has 243 divisors, whose sum is σ = 4129944516243. Its totient is φ = 982490446080.

The previous prime is 2061478566223. The next prime is 2061478566239. The reversal of 2061478566225 is 5226658741602.

The square root of 2061478566225 is 1435785.

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

2061478566225 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 4 + 7 + 8 + 5 + 6 + 622 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1189667936961 + 871810629264 = 1090719^2 + 933708^2 .

It is not a de Polignac number, because 2061478566225 - 2¹ = 2061478566223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2061478566223) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 10359188676 + ... + 10359188874.

Almost surely, 2^{2061478566225} is an apocalyptic number.

2061478566225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2061478566225 is the 1435785-th square number.

2061478566225 is the 717893-rd centered octagonal number.

It is an amenable number.

2061478566225 is an abundant number, since it is smaller than the sum of its proper divisors (2068465950018).

2061478566225 is a wasteful number, since it uses less digits than its factorization.

2061478566225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 2061478566225 in words is "two trillion, sixty-one billion, four hundred seventy-eight million, five hundred sixty-six thousand, two hundred twenty-five".