1755813155041 has 45 divisors (see below), whose sum is σ = 1981855709155. Its totient is φ = 1555527348320.

The previous prime is 1755813154973. The next prime is 1755813155069. The reversal of 1755813155041 is 1405513185571.

The square root of 1755813155041 is 1325071.

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., 356570208225 + 1399242946816 = 597135^2 + 1182896^2 .

It is not a de Polignac number, because 1755813155041 - 2¹¹ = 1755813152993 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1755813154982 and 1755813155000.

It is not an unprimeable number, because it can be changed into a prime (1755813158041) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7535678661 + ... + 7535678893.

Almost surely, 2^{1755813155041} is an apocalyptic number.

1755813155041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1755813155041 is the 1325071-st square number.

1755813155041 is the 662536-th centered octagonal number.

It is an amenable number.

1755813155041 is a deficient number, since it is larger than the sum of its proper divisors (226042554114).

1755813155041 is an frugal number, since it uses more digits than its factorization.

1755813155041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 46.

The spelling of 1755813155041 in words is "one trillion, seven hundred fifty-five billion, eight hundred thirteen million, one hundred fifty-five thousand, forty-one".