5110005005061 has 64 divisors (see below), whose sum is σ = 7846559907840. Its totient is φ = 2929829760000.

The previous prime is 5110005005059. The next prime is 5110005005081. The reversal of 5110005005061 is 1605005000115.

It is not a de Polignac number, because 5110005005061 - 2¹ = 5110005005059 is a prime.

It is a super-2 number, since 2×5110005005061² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5110005005011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7849501 + ... + 8475533.

It is an arithmetic number, because the mean of its divisors is an integer number (122602498560).

Almost surely, 2^{5110005005061} is an apocalyptic number.

It is an amenable number.

5110005005061 is a deficient number, since it is larger than the sum of its proper divisors (2736554902779).

5110005005061 is a wasteful number, since it uses less digits than its factorization.

5110005005061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626258.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 5110005005061 in words is "five trillion, one hundred ten billion, five million, five thousand, sixty-one".