1035161770041 has 27 divisors (see below), whose sum is σ = 1739389351791. Its totient is φ = 591508802304.

The previous prime is 1035161770007. The next prime is 1035161770051. The reversal of 1035161770041 is 1400771615301.

It is a happy number.

The square root of 1035161770041 is 1017429.

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

1035161770041 is a `hidden beast` number, since 1 + 0 + 35 + 1 + 617 + 7 + 0 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1030978267641 + 4183502400 = 1015371^2 + 64680^2 .

It is not a de Polignac number, because 1035161770041 - 2¹³ = 1035161761849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1035161769978 and 1035161770005.

It is not an unprimeable number, because it can be changed into a prime (1035161770051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21341785 + ... + 21390233.

Almost surely, 2^{1035161770041} is an apocalyptic number.

1035161770041 is the 1017429-th square number.

1035161770041 is the 508715-th centered octagonal number.

It is an amenable number.

1035161770041 is a deficient number, since it is larger than the sum of its proper divisors (704227581750).

1035161770041 is an frugal number, since it uses more digits than its factorization.

1035161770041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96918 (or 48459 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Multiplying 1035161770041 by its sum of digits (36), we get a square (37265823721476 = 6104574²).

The spelling of 1035161770041 in words is "one trillion, thirty-five billion, one hundred sixty-one million, seven hundred seventy thousand, forty-one".