61011056005605 has 48 divisors (see below), whose sum is σ = 106663114537200. Its totient is φ = 32259963101184.

The previous prime is 61011056005577. The next prime is 61011056005703. The reversal of 61011056005605 is 50650065011016.

It can be written as a sum of positive squares in 8 ways, for example, as 10505785835169 + 50505270170436 = 3241263^2 + 7106706^2 .

It is not a de Polignac number, because 61011056005605 - 2¹⁶ = 61011055940069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61011056005605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6444382 + ... + 12788751.

It is an arithmetic number, because the mean of its divisors is an integer number (2222148219525).

Almost surely, 2^{61011056005605} is an apocalyptic number.

It is an amenable number.

61011056005605 is a deficient number, since it is larger than the sum of its proper divisors (45652058531595).

61011056005605 is a wasteful number, since it uses less digits than its factorization.

61011056005605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19233750 (or 19233747 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 61011056005605 in words is "sixty-one trillion, eleven billion, fifty-six million, five thousand, six hundred five".