1035485541 has 36 divisors (see below), whose sum is σ = 1596748140. Its totient is φ = 646462080.

The previous prime is 1035485527. The next prime is 1035485551. The reversal of 1035485541 is 1455845301.

1035485541 is a `hidden beast` number, since 1 + 0 + 35 + 4 + 85 + 541 = 666.

1035485541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 578594916 + 456890625 = 24054^2 + 21375^2 .

It is not a de Polignac number, because 1035485541 - 2⁷ = 1035485413 is a prime.

It is a super-3 number, since 3×1035485541³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1035485496 and 1035485505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035485501) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 287371 + ... + 290951.

It is an arithmetic number, because the mean of its divisors is an integer number (44354115).

Almost surely, 2^1035485541 is an apocalyptic number.

It is an amenable number.

1035485541 is a deficient number, since it is larger than the sum of its proper divisors (561262599).

1035485541 is a wasteful number, since it uses less digits than its factorization.

1035485541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 1035485541 is about 32178.9611547669. The cubic root of 1035485541 is about 1011.6912946166.

The spelling of 1035485541 in words is "one billion, thirty-five million, four hundred eighty-five thousand, five hundred forty-one".