153537312241 has 2 divisors, whose sum is σ = 153537312242. Its totient is φ = 153537312240.

The previous prime is 153537312209. The next prime is 153537312289. The reversal of 153537312241 is 142213735351.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 148607166016 + 4930146225 = 385496^2 + 70215^2 .

It is a cyclic number.

It is not a de Polignac number, because 153537312241 - 2⁵ = 153537312209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 153537312241.

It is not a weakly prime, because it can be changed into another prime (153537312941) 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, 76768656120 + 76768656121.

It is an arithmetic number, because the mean of its divisors is an integer number (76768656121).

Almost surely, 2^153537312241 is an apocalyptic number.

It is an amenable number.

153537312241 is a deficient number, since it is larger than the sum of its proper divisors (1).

153537312241 is an equidigital number, since it uses as much as digits as its factorization.

153537312241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 75600, while the sum is 37.

The spelling of 153537312241 in words is "one hundred fifty-three billion, five hundred thirty-seven million, three hundred twelve thousand, two hundred forty-one".