807552052321 has 9 divisors (see below), whose sum is σ = 939404602899. Its totient is φ = 692182081584.

The previous prime is 807552052309. The next prime is 807552052337. The reversal of 807552052321 is 123250255708.

The square root of 807552052321 is 898639.

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., 504462165025 + 303089887296 = 710255^2 + 550536^2 .

It is not a de Polignac number, because 807552052321 - 2¹⁵ = 807552019553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (807552052301) 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, 6226285 + ... + 6354661.

It is an arithmetic number, because the mean of its divisors is an integer number (104378289211).

Almost surely, 2^807552052321 is an apocalyptic number.

807552052321 is the 898639-th square number.

807552052321 is the 449320-th centered octagonal number.

It is an amenable number.

807552052321 is a deficient number, since it is larger than the sum of its proper divisors (131852550578).

807552052321 is an frugal number, since it uses more digits than its factorization.

807552052321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256768 (or 128384 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 807552052321 in words is "eight hundred seven billion, five hundred fifty-two million, fifty-two thousand, three hundred twenty-one".