185137013249 has 2 divisors, whose sum is σ = 185137013250. Its totient is φ = 185137013248.

The previous prime is 185137013209. The next prime is 185137013279. The reversal of 185137013249 is 942310731581.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178986532624 + 6150480625 = 423068^2 + 78425^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-185137013249 is a prime.

It is not a weakly prime, because it can be changed into another prime (185137013209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 92568506624 + 92568506625.

It is an arithmetic number, because the mean of its divisors is an integer number (92568506625).

Almost surely, 2^185137013249 is an apocalyptic number.

It is an amenable number.

185137013249 is a deficient number, since it is larger than the sum of its proper divisors (1).

185137013249 is an equidigital number, since it uses as much as digits as its factorization.

185137013249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 185137013249 in words is "one hundred eighty-five billion, one hundred thirty-seven million, thirteen thousand, two hundred forty-nine".