1005655601551 has 8 divisors (see below), whose sum is σ = 1042863015584. Its totient is φ = 968975952480.

The previous prime is 1005655601519. The next prime is 1005655601597. The reversal of 1005655601551 is 1551065565001.

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 1005655601551 - 2⁵ = 1005655601519 is a prime.

It is a super-3 number, since 3×1005655601551³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005655601651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131937360 + ... + 131944981.

It is an arithmetic number, because the mean of its divisors is an integer number (130357876948).

Almost surely, 2^{1005655601551} is an apocalyptic number.

1005655601551 is a deficient number, since it is larger than the sum of its proper divisors (37207414033).

1005655601551 is a wasteful number, since it uses less digits than its factorization.

1005655601551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263882481.

The product of its (nonzero) digits is 112500, while the sum is 40.

The spelling of 1005655601551 in words is "one trillion, five billion, six hundred fifty-five million, six hundred one thousand, five hundred fifty-one".