1755601150081 has 9 divisors (see below), whose sum is σ = 1769703254211. Its totient is φ = 1741610570112.

The previous prime is 1755601150033. The next prime is 1755601150109. The reversal of 1755601150081 is 1800511065571.

The square root of 1755601150081 is 1324991.

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

It can be written as a sum of positive squares in only one way, i.e., 1134001361025 + 621599789056 = 1064895^2 + 788416^2 .

It is not a de Polignac number, because 1755601150081 - 2²⁷ = 1755466932353 is a prime.

It is a super-2 number, since 2×1755601150081² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1755601150781) 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, 168268641 + ... + 168279073.

Almost surely, 2^{1755601150081} is an apocalyptic number.

1755601150081 is the 1324991-st square number.

1755601150081 is the 662496-th centered octagonal number.

It is an amenable number.

1755601150081 is a deficient number, since it is larger than the sum of its proper divisors (14102104130).

1755601150081 is an frugal number, since it uses more digits than its factorization.

1755601150081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21120 (or 10560 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 40.

The spelling of 1755601150081 in words is "one trillion, seven hundred fifty-five billion, six hundred one million, one hundred fifty thousand, eighty-one".