2528005000257 has 48 divisors (see below), whose sum is σ = 4069150525440. Its totient is φ = 1499204565600.

The previous prime is 2528005000253. The next prime is 2528005000267. The reversal of 2528005000257 is 7520005008252.

2528005000257 is a `hidden beast` number, since 2 + 52 + 80 + 0 + 500 + 0 + 25 + 7 = 666.

It is not a de Polignac number, because 2528005000257 - 2² = 2528005000253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2528005000253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22608994 + ... + 22720532.

It is an arithmetic number, because the mean of its divisors is an integer number (84773969280).

Almost surely, 2^{2528005000257} is an apocalyptic number.

It is an amenable number.

2528005000257 is a deficient number, since it is larger than the sum of its proper divisors (1541145525183).

2528005000257 is a wasteful number, since it uses less digits than its factorization.

2528005000257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116474 (or 116471 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 2528005000257 in words is "two trillion, five hundred twenty-eight billion, five million, two hundred fifty-seven", and thus it is an aban number.