61005051001 has 16 divisors (see below), whose sum is σ = 63463034880. Its totient is φ = 58578201360.

The previous prime is 61005050969. The next prime is 61005051073. The reversal of 61005051001 is 10015050016.

It is a cyclic number.

It is not a de Polignac number, because 61005051001 - 2⁵ = 61005050969 is a prime.

It is a super-2 number, since 2×61005051001² (a number of 22 digits) contains 22 as substring.

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 61005051001.

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, 10437786 + ... + 10443628.

It is an arithmetic number, because the mean of its divisors is an integer number (3966439680).

Almost surely, 2^61005051001 is an apocalyptic number.

It is an amenable number.

61005051001 is a deficient number, since it is larger than the sum of its proper divisors (2457983879).

61005051001 is a wasteful number, since it uses less digits than its factorization.

61005051001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8436.

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 61005051001 in words is "sixty-one billion, five million, fifty-one thousand, one".