541361657 has 2 divisors, whose sum is σ = 541361658. Its totient is φ = 541361656.

The previous prime is 541361627. The next prime is 541361659. The reversal of 541361657 is 756163145.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 460703296 + 80658361 = 21464^2 + 8981^2 .

It is a cyclic number.

It is not a de Polignac number, because 541361657 - 2²² = 537167353 is a prime.

Together with 541361659, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 541361657.

It is not a weakly prime, because it can be changed into another prime (541361659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270680828 + 270680829.

It is an arithmetic number, because the mean of its divisors is an integer number (270680829).

Almost surely, 2^541361657 is an apocalyptic number.

It is an amenable number.

541361657 is a deficient number, since it is larger than the sum of its proper divisors (1).

541361657 is an equidigital number, since it uses as much as digits as its factorization.

541361657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 75600, while the sum is 38.

The square root of 541361657 is about 23267.1798248090. The cubic root of 541361657 is about 815.0091744987.

The spelling of 541361657 in words is "five hundred forty-one million, three hundred sixty-one thousand, six hundred fifty-seven".