1041075349561 has 9 divisors (see below), whose sum is σ = 1127332641231. Its totient is φ = 960980386392.

The previous prime is 1041075349547. The next prime is 1041075349571. The reversal of 1041075349561 is 1659435701401.

The square root of 1041075349561 is 1020331.

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

1041075349561 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 only one way, i.e., 154005229225 + 887070120336 = 392435^2 + 941844^2 .

It is not a de Polignac number, because 1041075349561 - 2⁵ = 1041075349529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1041075349541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13225060 + ... + 13303546.

It is an arithmetic number, because the mean of its divisors is an integer number (125259182359).

Almost surely, 2^{1041075349561} is an apocalyptic number.

1041075349561 is the 1020331-st square number.

1041075349561 is the 510166-th centered octagonal number.

It is an amenable number.

1041075349561 is a deficient number, since it is larger than the sum of its proper divisors (86257291670).

1041075349561 is an frugal number, since it uses more digits than its factorization.

1041075349561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157000 (or 78500 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 1041075349561 in words is "one trillion, forty-one billion, seventy-five million, three hundred forty-nine thousand, five hundred sixty-one".