2505210137 has 2 divisors, whose sum is σ = 2505210138. Its totient is φ = 2505210136.

The previous prime is 2505210091. The next prime is 2505210139. The reversal of 2505210137 is 7310125052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2504401936 + 808201 = 50044^2 + 899^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2505210137 is a prime.

Together with 2505210139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2505210139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252605068 + 1252605069.

It is an arithmetic number, because the mean of its divisors is an integer number (1252605069).

Almost surely, 2^2505210137 is an apocalyptic number.

It is an amenable number.

2505210137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505210137 is an equidigital number, since it uses as much as digits as its factorization.

2505210137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 2505210137 is about 50052.0742527220. The cubic root of 2505210137 is about 1358.1509865937.

Adding to 2505210137 its reverse (7310125052), we get a palindrome (9815335189).

The spelling of 2505210137 in words is "two billion, five hundred five million, two hundred ten thousand, one hundred thirty-seven".