13552641000 has 96 divisors (see below), whose sum is σ = 45807957000. Its totient is φ = 3614035200.

The previous prime is 13552640993. The next prime is 13552641007. The reversal of 13552641000 is 14625531.

13552641000 is a `hidden beast` number, since 1 + 3 + 552 + 6 + 4 + 100 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13552640993) and next prime (13552641007).

It can be written as a sum of positive squares in 4 ways, for example, as 6636057444 + 6916583556 = 81462^2 + 83166^2 .

It is not an unprimeable number, because it can be changed into a prime (13552641007) by changing a digit.

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, 743925 + ... + 761924.

Almost surely, 2^13552641000 is an apocalyptic number.

13552641000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13552641000 is an abundant number, since it is smaller than the sum of its proper divisors (32255316000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13552641000 is a wasteful number, since it uses less digits than its factorization.

13552641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505876 (or 1505859 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 13552641000 in words is "thirteen billion, five hundred fifty-two million, six hundred forty-one thousand".