2573123977216 has 171 divisors, whose sum is σ = 5595772298283. Its totient is φ = 1182667898880.

The previous prime is 2573123977211. The next prime is 2573123977271. The reversal of 2573123977216 is 6127793213752.

The square root of 2573123977216 is 1604096.

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

It can be written as a sum of positive squares in 4 ways, for example, as 40901017600 + 2532222959616 = 202240^2 + 1591296^2 .

It is a super-2 number, since 2×2573123977216² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2573123977211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10676862856 + ... + 10676863096.

Almost surely, 2^{2573123977216} is an apocalyptic number.

2573123977216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2573123977216 is the 1604096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2573123977216

2573123977216 is an abundant number, since it is smaller than the sum of its proper divisors (3022648321067).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2573123977216 is an frugal number, since it uses more digits than its factorization.

2573123977216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 256 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 55.

The spelling of 2573123977216 in words is "two trillion, five hundred seventy-three billion, one hundred twenty-three million, nine hundred seventy-seven thousand, two hundred sixteen".