61006561025 has 24 divisors (see below), whose sum is σ = 78952536000. Its totient is φ = 46674203840.

The previous prime is 61006560959. The next prime is 61006561079. The reversal of 61006561025 is 52016560016.

It is not a de Polignac number, because 61006561025 - 2³⁴ = 43826691841 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 61006560982 and 61006561000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5600234 + ... + 5611116.

It is an arithmetic number, because the mean of its divisors is an integer number (3289689000).

Almost surely, 2^61006561025 is an apocalyptic number.

It is an amenable number.

61006561025 is a deficient number, since it is larger than the sum of its proper divisors (17945974975).

61006561025 is a wasteful number, since it uses less digits than its factorization.

61006561025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20665 (or 20660 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 61006561025 in words is "sixty-one billion, six million, five hundred sixty-one thousand, twenty-five".