2124577647557 has 2 divisors, whose sum is σ = 2124577647558. Its totient is φ = 2124577647556.

The previous prime is 2124577647433. The next prime is 2124577647653. The reversal of 2124577647557 is 7557467754212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1088998689601 + 1035578957956 = 1043551^2 + 1017634^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2124577647557 is a prime.

It is a super-2 number, since 2×2124577647557² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2124577647557.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2124577637557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1062288823778 + 1062288823779.

It is an arithmetic number, because the mean of its divisors is an integer number (1062288823779).

Almost surely, 2^{2124577647557} is an apocalyptic number.

It is an amenable number.

2124577647557 is a deficient number, since it is larger than the sum of its proper divisors (1).

2124577647557 is an equidigital number, since it uses as much as digits as its factorization.

2124577647557 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 115248000, while the sum is 62.

The spelling of 2124577647557 in words is "two trillion, one hundred twenty-four billion, five hundred seventy-seven million, six hundred forty-seven thousand, five hundred fifty-seven".