2511121555457 has 2 divisors, whose sum is σ = 2511121555458. Its totient is φ = 2511121555456.

The previous prime is 2511121555409. The next prime is 2511121555517. The reversal of 2511121555457 is 7545551211152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2326476027841 + 184645527616 = 1525279^2 + 429704^2 .

It is a cyclic number.

It is not a de Polignac number, because 2511121555457 - 2¹⁸ = 2511121293313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2511121555757) 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 as a sum of consecutive naturals, namely, 1255560777728 + 1255560777729.

It is an arithmetic number, because the mean of its divisors is an integer number (1255560777729).

Almost surely, 2^{2511121555457} is an apocalyptic number.

It is an amenable number.

2511121555457 is a deficient number, since it is larger than the sum of its proper divisors (1).

2511121555457 is an equidigital number, since it uses as much as digits as its factorization.

2511121555457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 350000, while the sum is 44.

The spelling of 2511121555457 in words is "two trillion, five hundred eleven billion, one hundred twenty-one million, five hundred fifty-five thousand, four hundred fifty-seven".