2577121397 has 2 divisors, whose sum is σ = 2577121398. Its totient is φ = 2577121396.

The previous prime is 2577121369. The next prime is 2577121399. The reversal of 2577121397 is 7931217752.

2577121397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2410220836 + 166900561 = 49094^2 + 12919^2 .

It is a cyclic number.

It is not a de Polignac number, because 2577121397 - 2⁶ = 2577121333 is a prime.

Together with 2577121399, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2577121399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1288560698 + 1288560699.

It is an arithmetic number, because the mean of its divisors is an integer number (1288560699).

Almost surely, 2^2577121397 is an apocalyptic number.

It is an amenable number.

2577121397 is a deficient number, since it is larger than the sum of its proper divisors (1).

2577121397 is an equidigital number, since it uses as much as digits as its factorization.

2577121397 is an evil number, because the sum of its binary digits is even.

The product of its digits is 185220, while the sum is 44.

The square root of 2577121397 is about 50765.3562678329. The cubic root of 2577121397 is about 1371.0236895754.

The spelling of 2577121397 in words is "two billion, five hundred seventy-seven million, one hundred twenty-one thousand, three hundred ninety-seven".