2505525028037 has 2 divisors, whose sum is σ = 2505525028038. Its totient is φ = 2505525028036.

The previous prime is 2505525028033. The next prime is 2505525028057. The reversal of 2505525028037 is 7308205255052.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1790969269441 + 714555758596 = 1338271^2 + 845314^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505525028037 - 2² = 2505525028033 is a prime.

It is a super-2 number, since 2×2505525028037² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2505525028033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252762514018 + 1252762514019.

It is an arithmetic number, because the mean of its divisors is an integer number (1252762514019).

Almost surely, 2^{2505525028037} is an apocalyptic number.

It is an amenable number.

2505525028037 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505525028037 is an equidigital number, since it uses as much as digits as its factorization.

2505525028037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840000, while the sum is 44.

The spelling of 2505525028037 in words is "two trillion, five hundred five billion, five hundred twenty-five million, twenty-eight thousand, thirty-seven".