73753555064121 has 15 divisors (see below), whose sum is σ = 110175179198623. Its totient is φ = 49168985181480.

The previous prime is 73753555064107. The next prime is 73753555064149. The reversal of 73753555064121 is 12146055535737.

The square root of 73753555064121 is 8587989.

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

73753555064121 is a `hidden beast` number, since 7 + 3 + 7 + 5 + 3 + 5 + 5 + 506 + 4 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46420525454121 + 27333029610000 = 6813261^2 + 5228100^2 .

It is not a de Polignac number, because 73753555064121 - 2⁵ = 73753555064089 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (73753555064921) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 76814791 + ... + 77769011.

Almost surely, 2^{73753555064121} is an apocalyptic number.

73753555064121 is the 8587989-th square number.

73753555064121 is the 4293995-th centered octagonal number.

It is an amenable number.

73753555064121 is a deficient number, since it is larger than the sum of its proper divisors (36421624134502).

73753555064121 is an frugal number, since it uses more digits than its factorization.

73753555064121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908454 (or 954224 counting only the distinct ones).

The product of its (nonzero) digits is 13230000, while the sum is 54.

The spelling of 73753555064121 in words is "seventy-three trillion, seven hundred fifty-three billion, five hundred fifty-five million, sixty-four thousand, one hundred twenty-one".