2573300430801 has 189 divisors, whose sum is σ = 4221749031339. Its totient is φ = 1567550690784.

The previous prime is 2573300430761. The next prime is 2573300430803. The reversal of 2573300430801 is 1080340033752.

The square root of 2573300430801 is 1604151.

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

2573300430801 is a `hidden beast` number, since 2 + 573 + 3 + 0 + 0 + 4 + 3 + 0 + 80 + 1 = 666.

2573300430801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1855084860225 + 718215570576 = 1362015^2 + 847476^2 .

It is not a de Polignac number, because 2573300430801 - 2¹¹ = 2573300428753 is a prime.

It is a super-2 number, since 2×2573300430801² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2573300430803) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 43615261510 + ... + 43615261568.

Almost surely, 2^{2573300430801} is an apocalyptic number.

2573300430801 is the 1604151-st square number.

2573300430801 is the 802076-th centered octagonal number.

It is an amenable number.

2573300430801 is a deficient number, since it is larger than the sum of its proper divisors (1648448600538).

2573300430801 is an frugal number, since it uses more digits than its factorization.

2573300430801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 2573300430801 by its sum of digits (36), we get a square (92638815508836 = 9624906²).

The spelling of 2573300430801 in words is "two trillion, five hundred seventy-three billion, three hundred million, four hundred thirty thousand, eight hundred one".