1005005100061 has 8 divisors (see below), whose sum is σ = 1007182044504. Its totient is φ = 1002829907520.

The previous prime is 1005005100049. The next prime is 1005005100101. The reversal of 1005005100061 is 1600015005001.

It can be written as a sum of positive squares in 4 ways, for example, as 88905348900 + 916099751161 = 298170^2 + 957131^2 .

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 1005005100061 - 2¹³ = 1005005091869 is a prime.

It is a super-2 number, since 2×1005005100061² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005005100031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 713871 + ... + 1587331.

It is an arithmetic number, because the mean of its divisors is an integer number (125897755563).

Almost surely, 2^{1005005100061} is an apocalyptic number.

It is an amenable number.

1005005100061 is a deficient number, since it is larger than the sum of its proper divisors (2176944443).

1005005100061 is an equidigital number, since it uses as much as digits as its factorization.

1005005100061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875951.

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

The spelling of 1005005100061 in words is "one trillion, five billion, five million, one hundred thousand, sixty-one".