1033111649241 has 81 divisors (see below), whose sum is σ = 1798909546941. Its totient is φ = 569651116608.

The previous prime is 1033111649221. The next prime is 1033111649243. The reversal of 1033111649241 is 1429461113301.

It is a happy number.

The square root of 1033111649241 is 1016421.

It is a perfect power (a square), and thus also a powerful number.

1033111649241 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 1 + 1 + 649 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3454970841 + 1029656678400 = 58779^2 + 1014720^2 .

It is not a de Polignac number, because 1033111649241 - 2⁵ = 1033111649209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1033111649196 and 1033111649205.

It is not an unprimeable number, because it can be changed into a prime (1033111649243) 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 80 ways as a sum of consecutive naturals, for example, 618999555 + ... + 619001223.

Almost surely, 2^{1033111649241} is an apocalyptic number.

1033111649241 is the 1016421-st square number.

1033111649241 is the 508211-st centered octagonal number.

It is an amenable number.

1033111649241 is a deficient number, since it is larger than the sum of its proper divisors (765797897700).

1033111649241 is an frugal number, since it uses more digits than its factorization.

1033111649241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 1033111649241 by its sum of digits (36), we get a square (37192019372676 = 6098526²).

The spelling of 1033111649241 in words is "one trillion, thirty-three billion, one hundred eleven million, six hundred forty-nine thousand, two hundred forty-one".