2557247688301 has 16 divisors (see below), whose sum is σ = 2711468240640. Its totient is φ = 2407809096000.

The previous prime is 2557247688271. The next prime is 2557247688349. The reversal of 2557247688301 is 1038867427552.

It is a cyclic number.

It is not a de Polignac number, because 2557247688301 - 2⁹ = 2557247687789 is a prime.

It is a super-3 number, since 3×2557247688301³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557247688361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3009075 + ... + 3764176.

It is an arithmetic number, because the mean of its divisors is an integer number (169466765040).

Almost surely, 2^{2557247688301} is an apocalyptic number.

It is an amenable number.

2557247688301 is a deficient number, since it is larger than the sum of its proper divisors (154220552339).

2557247688301 is a wasteful number, since it uses less digits than its factorization.

2557247688301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6773604.

The product of its (nonzero) digits is 22579200, while the sum is 58.

The spelling of 2557247688301 in words is "two trillion, five hundred fifty-seven billion, two hundred forty-seven million, six hundred eighty-eight thousand, three hundred one".