873008053801 has 27 divisors (see below), whose sum is σ = 969500446767. Its totient is φ = 785750135040.

The previous prime is 873008053789. The next prime is 873008053807. The reversal of 873008053801 is 108350800378.

The square root of 873008053801 is 934349.

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

It can be written as a sum of positive squares in 13 ways, for example, as 436324981401 + 436683072400 = 660549^2 + 660820^2 .

It is not a de Polignac number, because 873008053801 - 2¹⁷ = 873007922729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (873008053807) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 498007141 + ... + 498008893.

Almost surely, 2^873008053801 is an apocalyptic number.

873008053801 is the 934349-th square number.

873008053801 is the 467175-th centered octagonal number.

It is an amenable number.

873008053801 is a deficient number, since it is larger than the sum of its proper divisors (96492392966).

873008053801 is an frugal number, since it uses more digits than its factorization.

873008053801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 873008053801 in words is "eight hundred seventy-three billion, eight million, fifty-three thousand, eight hundred one".