61005051121 has 16 divisors (see below), whose sum is σ = 72874162944. Its totient is φ = 49932140544.

The previous prime is 61005051113. The next prime is 61005051131. The reversal of 61005051121 is 12115050016.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 61005051121 - 2³ = 61005051113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61005051092 and 61005051101.

It is not an unprimeable number, because it can be changed into a prime (61005051101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224016 + ... + 414961.

It is an arithmetic number, because the mean of its divisors is an integer number (4554635184).

Almost surely, 2^61005051121 is an apocalyptic number.

It is an amenable number.

61005051121 is a deficient number, since it is larger than the sum of its proper divisors (11869111823).

61005051121 is a wasteful number, since it uses less digits than its factorization.

61005051121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639600.

The product of its (nonzero) digits is 300, while the sum is 22.

The spelling of 61005051121 in words is "sixty-one billion, five million, fifty-one thousand, one hundred twenty-one".