1035792672121 has 27 divisors (see below), whose sum is σ = 1111200606957. Its totient is φ = 965305086720.

The previous prime is 1035792672037. The next prime is 1035792672151. The reversal of 1035792672121 is 1212762975301.

The square root of 1035792672121 is 1017739.

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

It can be written as a sum of positive squares in 4 ways, for example, as 434361401721 + 601431270400 = 659061^2 + 775520^2 .

It is not a de Polignac number, because 1035792672121 - 2¹⁹ = 1035792147833 is a prime.

It is a super-3 number, since 3×1035792672121³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1035792672151) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2266504525 + ... + 2266504981.

Almost surely, 2^{1035792672121} is an apocalyptic number.

1035792672121 is the 1017739-th square number.

1035792672121 is the 508870-th centered octagonal number.

It is an amenable number.

1035792672121 is a deficient number, since it is larger than the sum of its proper divisors (75407934836).

1035792672121 is an frugal number, since it uses more digits than its factorization.

1035792672121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 1035792672121 in words is "one trillion, thirty-five billion, seven hundred ninety-two million, six hundred seventy-two thousand, one hundred twenty-one".