2502800055001 has 2 divisors, whose sum is σ = 2502800055002. Its totient is φ = 2502800055000.

The previous prime is 2502800054983. The next prime is 2502800055011. The reversal of 2502800055001 is 1005500082052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2483839040400 + 18961014601 = 1576020^2 + 137699^2 .

It is a cyclic number.

It is not a de Polignac number, because 2502800055001 - 2⁷ = 2502800054873 is a prime.

It is a super-2 number, since 2×2502800055001² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2502800055011) 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 as a sum of consecutive naturals, namely, 1251400027500 + 1251400027501.

It is an arithmetic number, because the mean of its divisors is an integer number (1251400027501).

Almost surely, 2^{2502800055001} is an apocalyptic number.

It is an amenable number.

2502800055001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2502800055001 is an equidigital number, since it uses as much as digits as its factorization.

2502800055001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4000, while the sum is 28.

The spelling of 2502800055001 in words is "two trillion, five hundred two billion, eight hundred million, fifty-five thousand, one".