1005510601006 has 32 divisors (see below), whose sum is σ = 1540569248640. Its totient is φ = 492094688256.

The previous prime is 1005510600979. The next prime is 1005510601061. The reversal of 1005510601006 is 6001060155001.

It is a super-2 number, since 2×1005510601006² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 89143275 + ... + 89154553.

It is an arithmetic number, because the mean of its divisors is an integer number (48142789020).

Almost surely, 2^{1005510601006} is an apocalyptic number.

1005510601006 is a deficient number, since it is larger than the sum of its proper divisors (535058647634).

1005510601006 is a wasteful number, since it uses less digits than its factorization.

1005510601006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15948.

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 1005510601006 its reverse (6001060155001), we get a palindrome (7006570756007).

The spelling of 1005510601006 in words is "one trillion, five billion, five hundred ten million, six hundred one thousand, six".