1005540553314 has 48 divisors (see below), whose sum is σ = 2381125690944. Its totient is φ = 304145992800.

The previous prime is 1005540553313. The next prime is 1005540553327. The reversal of 1005540553314 is 4133550455001.

1005540553314 is a `hidden beast` number, since 1 + 0 + 0 + 55 + 40 + 553 + 3 + 14 = 666.

1005540553314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005540553314² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005540553313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4586494 + ... + 4800729.

It is an arithmetic number, because the mean of its divisors is an integer number (49606785228).

Almost surely, 2^{1005540553314} is an apocalyptic number.

1005540553314 is an abundant number, since it is smaller than the sum of its proper divisors (1375585137630).

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

1005540553314 is a wasteful number, since it uses less digits than its factorization.

1005540553314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9387783 (or 9387780 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 1005540553314 in words is "one trillion, five billion, five hundred forty million, five hundred fifty-three thousand, three hundred fourteen".