61506120000601 has 8 divisors (see below), whose sum is σ = 61533072275840. Its totient is φ = 61479172847952.

The previous prime is 61506120000599. The next prime is 61506120000631. The reversal of 61506120000601 is 10600002160516.

61506120000601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 61506120000601 - 2¹ = 61506120000599 is a prime.

It is a super-4 number, since 4×61506120000601⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61506120000601.

It is not an unprimeable number, because it can be changed into a prime (61506120000631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22837690 + ... + 25388428.

It is an arithmetic number, because the mean of its divisors is an integer number (7691634034480).

Almost surely, 2^{61506120000601} is an apocalyptic number.

It is an amenable number.

61506120000601 is a deficient number, since it is larger than the sum of its proper divisors (26952275239).

61506120000601 is a wasteful number, since it uses less digits than its factorization.

61506120000601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561295.

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 61506120000601 in words is "sixty-one trillion, five hundred six billion, one hundred twenty million, six hundred one", and thus it is an aban number.