73087777641321 has 9 divisors (see below), whose sum is σ = 105571271417079. Its totient is φ = 48725167995936.

The previous prime is 73087777641301. The next prime is 73087777641349. The reversal of 73087777641321 is 12314677778037.

The square root of 73087777641321 is 8549139.

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

73087777641321 is a `hidden beast` number, since 7 + 3 + 0 + 87 + 77 + 76 + 413 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8567299730025 + 64520477911296 = 2926995^2 + 8032464^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 73087777641321 - 2⁹ = 73087777640809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73087777641301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24222561 + ... + 27072273.

Almost surely, 2^{73087777641321} is an apocalyptic number.

73087777641321 is the 8549139-th square number.

73087777641321 is the 4274570-th centered octagonal number.

It is an amenable number.

73087777641321 is a deficient number, since it is larger than the sum of its proper divisors (32483493775758).

73087777641321 is an frugal number, since it uses more digits than its factorization.

73087777641321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5699432 (or 2849716 counting only the distinct ones).

The product of its (nonzero) digits is 58084992, while the sum is 63.

The spelling of 73087777641321 in words is "seventy-three trillion, eighty-seven billion, seven hundred seventy-seven million, six hundred forty-one thousand, three hundred twenty-one".