610051005005 has 32 divisors (see below), whose sum is σ = 808415784288. Its totient is φ = 439068672000.

The previous prime is 610051004993. The next prime is 610051005023. The reversal of 610051005005 is 500500150016.

It can be written as a sum of positive squares in 16 ways, for example, as 121117224361 + 488933780644 = 348019^2 + 699238^2 .

It is not a de Polignac number, because 610051005005 - 2⁸ = 610051004749 is a prime.

It is a super-2 number, since 2×610051005005² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2542205 + ... + 2771805.

It is an arithmetic number, because the mean of its divisors is an integer number (25262993259).

Almost surely, 2^610051005005 is an apocalyptic number.

610051005005 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

610051005005 is a deficient number, since it is larger than the sum of its proper divisors (198364779283).

610051005005 is a wasteful number, since it uses less digits than its factorization.

610051005005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230657.

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 610051005005 in words is "six hundred ten billion, fifty-one million, five thousand, five".