1957137241 has 2 divisors, whose sum is σ = 1957137242. Its totient is φ = 1957137240.

The previous prime is 1957137209. The next prime is 1957137271. The reversal of 1957137241 is 1427317591.

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., 1370480400 + 586656841 = 37020^2 + 24221^2 .

It is a cyclic number.

It is not a de Polignac number, because 1957137241 - 2⁵ = 1957137209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1957137194 and 1957137203.

It is not a weakly prime, because it can be changed into another prime (1957137271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 978568620 + 978568621.

It is an arithmetic number, because the mean of its divisors is an integer number (978568621).

Almost surely, 2^1957137241 is an apocalyptic number.

It is an amenable number.

1957137241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1957137241 is an equidigital number, since it uses as much as digits as its factorization.

1957137241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52920, while the sum is 40.

The square root of 1957137241 is about 44239.5438606684. The cubic root of 1957137241 is about 1250.8553593015.

The spelling of 1957137241 in words is "one billion, nine hundred fifty-seven million, one hundred thirty-seven thousand, two hundred forty-one".