2557422216513 has 36 divisors (see below), whose sum is σ = 3729101725440. Its totient is φ = 1688916421056.

The previous prime is 2557422216487. The next prime is 2557422216523. The reversal of 2557422216513 is 3156122247552.

It is a happy number.

2557422216513 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 422 + 216 + 5 + 1 + 3 = 666.

It is not a de Polignac number, because 2557422216513 - 2¹² = 2557422212417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2557422216523) 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 35 ways as a sum of consecutive naturals, for example, 80897356 + ... + 80928962.

It is an arithmetic number, because the mean of its divisors is an integer number (103586159040).

Almost surely, 2^{2557422216513} is an apocalyptic number.

It is an amenable number.

2557422216513 is a deficient number, since it is larger than the sum of its proper divisors (1171679508927).

2557422216513 is a wasteful number, since it uses less digits than its factorization.

2557422216513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32366 (or 32226 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 2557422216513 in words is "two trillion, five hundred fifty-seven billion, four hundred twenty-two million, two hundred sixteen thousand, five hundred thirteen".