1005552645201 has 64 divisors (see below), whose sum is σ = 1612960204800. Its totient is φ = 615466605312.

The previous prime is 1005552645187. The next prime is 1005552645247. The reversal of 1005552645201 is 1025462555001.

1005552645201 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 5 + 5 + 2 + 645 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 1005552645201 - 2²⁵ = 1005519090769 is a prime.

It is a super-2 number, since 2×1005552645201² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005552645701) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96192291 + ... + 96202743.

It is an arithmetic number, because the mean of its divisors is an integer number (25202503200).

Almost surely, 2^{1005552645201} is an apocalyptic number.

It is an amenable number.

1005552645201 is a deficient number, since it is larger than the sum of its proper divisors (607407559599).

1005552645201 is a wasteful number, since it uses less digits than its factorization.

1005552645201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11927 (or 11921 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 1005552645201 in words is "one trillion, five billion, five hundred fifty-two million, six hundred forty-five thousand, two hundred one".