1073559160129 has 27 divisors (see below), whose sum is σ = 1184940171009. Its totient is φ = 972425912040.

The previous prime is 1073559160087. The next prime is 1073559160139. The reversal of 1073559160129 is 9210619553701.

It is a happy number.

The square root of 1073559160129 is 1036127.

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

It is not a de Polignac number, because 1073559160129 - 2¹¹ = 1073559158081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1073559160139) 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, 452786314 + ... + 452788684.

Almost surely, 2^{1073559160129} is an apocalyptic number.

1073559160129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1073559160129 is the 1036127-th square number.

1073559160129 is the 518064-th centered octagonal number.

It is an amenable number.

1073559160129 is a deficient number, since it is larger than the sum of its proper divisors (111381010880).

1073559160129 is an frugal number, since it uses more digits than its factorization.

1073559160129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 49.

Multiplying 1073559160129 by its sum of digits (49), we get a square (52604398846321 = 7252889²).

The spelling of 1073559160129 in words is "one trillion, seventy-three billion, five hundred fifty-nine million, one hundred sixty thousand, one hundred twenty-nine".