2251210113137 has 2 divisors, whose sum is σ = 2251210113138. Its totient is φ = 2251210113136.

The previous prime is 2251210113101. The next prime is 2251210113157. The reversal of 2251210113137 is 7313110121522.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1918014485776 + 333195627361 = 1384924^2 + 577231^2 .

It is a cyclic number.

It is not a de Polignac number, because 2251210113137 - 2¹⁸ = 2251209850993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2251210113157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1125605056568 + 1125605056569.

It is an arithmetic number, because the mean of its divisors is an integer number (1125605056569).

Almost surely, 2^{2251210113137} is an apocalyptic number.

It is an amenable number.

2251210113137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2251210113137 is an equidigital number, since it uses as much as digits as its factorization.

2251210113137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 29.

Adding to 2251210113137 its reverse (7313110121522), we get a palindrome (9564320234659).

The spelling of 2251210113137 in words is "two trillion, two hundred fifty-one billion, two hundred ten million, one hundred thirteen thousand, one hundred thirty-seven".