1005551520325 has 24 divisors (see below), whose sum is σ = 1361516982336. Its totient is φ = 730622016000.

The previous prime is 1005551520307. The next prime is 1005551520341. The reversal of 1005551520325 is 5230251555001.

It is not a de Polignac number, because 1005551520325 - 2¹¹ = 1005551518277 is a prime.

It is a super-3 number, since 3×1005551520325³ (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 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 23 ways as a sum of consecutive naturals, for example, 1427596 + ... + 2012245.

It is an arithmetic number, because the mean of its divisors is an integer number (56729874264).

Almost surely, 2^{1005551520325} is an apocalyptic number.

It is an amenable number.

1005551520325 is a deficient number, since it is larger than the sum of its proper divisors (355965462011).

1005551520325 is a wasteful number, since it uses less digits than its factorization.

1005551520325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440925 (or 3440920 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 34.

The spelling of 1005551520325 in words is "one trillion, five billion, five hundred fifty-one million, five hundred twenty thousand, three hundred twenty-five".