61376334833025 has 81 divisors (see below), whose sum is σ = 110607589657929. Its totient is φ = 32534051106240.

The previous prime is 61376334832979. The next prime is 61376334833027. The reversal of 61376334833025 is 52033843367316.

The square root of 61376334833025 is 7834305.

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

61376334833025 is a `hidden beast` number, since 6 + 13 + 76 + 33 + 483 + 30 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6756667210881 + 54619667622144 = 2599359^2 + 7390512^2 .

It is not a de Polignac number, because 61376334833025 - 2⁹ = 61376334832513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61376334833027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20330019966 + ... + 20330022984.

Almost surely, 2^{61376334833025} is an apocalyptic number.

61376334833025 is the 7834305-th square number.

61376334833025 is the 3917153-rd centered octagonal number.

It is an amenable number.

61376334833025 is a deficient number, since it is larger than the sum of its proper divisors (49231254824904).

61376334833025 is an frugal number, since it uses more digits than its factorization.

61376334833025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 61376334833025 in words is "sixty-one trillion, three hundred seventy-six billion, three hundred thirty-four million, eight hundred thirty-three thousand, twenty-five".