61061005005 has 384 divisors, whose sum is σ = 138379788288. Its totient is φ = 22353408000.

The previous prime is 61061004989. The next prime is 61061005069. The reversal of 61061005005 is 50050016016.

It is not a de Polignac number, because 61061005005 - 2⁴ = 61061004989 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 480795252 + ... + 480795378.

It is an arithmetic number, because the mean of its divisors is an integer number (360364032).

Almost surely, 2^61061005005 is an apocalyptic number.

61061005005 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

61061005005 is an abundant number, since it is smaller than the sum of its proper divisors (77318783283).

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

61061005005 is a wasteful number, since it uses less digits than its factorization.

61061005005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 61061005005 in words is "sixty-one billion, sixty-one million, five thousand, five".