755645121 has 135 divisors (see below), whose sum is σ = 1486779203. Its totient is φ = 369452160.

The previous prime is 755645041. The next prime is 755645159. The reversal of 755645121 is 121546557.

The square root of 755645121 is 27489.

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

755645121 is a `hidden beast` number, since 7 + 5 + 5 + 645 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 588305025 + 167340096 = 24255^2 + 12936^2 .

It is not a de Polignac number, because 755645121 - 2⁹ = 755644609 is a prime.

It is a super-2 number, since 2×755645121² = 1141999097782209282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (755645161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 44449705 + ... + 44449721.

Almost surely, 2^755645121 is an apocalyptic number.

755645121 is the 27489-th square number.

755645121 is the 13745-th centered octagonal number.

It is an amenable number.

755645121 is a deficient number, since it is larger than the sum of its proper divisors (731134082).

755645121 is a wasteful number, since it uses less digits than its factorization.

755645121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 38 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The cubic root of 755645121 is about 910.8341267056.

Multiplying 755645121 by its sum of digits (36), we get a square (27203224356 = 164934²).

The spelling of 755645121 in words is "seven hundred fifty-five million, six hundred forty-five thousand, one hundred twenty-one".