2573871540241 has 3 divisors (see below), whose sum is σ = 2573873144571. Its totient is φ = 2573869935912.

The previous prime is 2573871540203. The next prime is 2573871540257. The reversal of 2573871540241 is 1420451783752.

It is a happy number.

The square root of 2573871540241 is 1604329.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 312336794641 + 2261534745600 = 558871^2 + 1503840^2 .

It is not a de Polignac number, because 2573871540241 - 2²³ = 2573863151633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2573871540041) 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 2 ways as a sum of consecutive naturals, for example, 802165 + ... + 2406493.

It is an arithmetic number, because the mean of its divisors is an integer number (857957714857).

Almost surely, 2^{2573871540241} is an apocalyptic number.

2573871540241 is the 1604329-th square number.

2573871540241 is the 802165-th centered octagonal number.

It is an amenable number.

2573871540241 is a deficient number, since it is larger than the sum of its proper divisors (1604330).

2573871540241 is an frugal number, since it uses more digits than its factorization.

2573871540241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208658 (or 1604329 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 49.

Multiplying 2573871540241 by its sum of digits (49), we get a square (126119705471809 = 11230303²).

The spelling of 2573871540241 in words is "two trillion, five hundred seventy-three billion, eight hundred seventy-one million, five hundred forty thousand, two hundred forty-one".