1957040777 has 2 divisors, whose sum is σ = 1957040778. Its totient is φ = 1957040776.

The previous prime is 1957040747. The next prime is 1957040779. The reversal of 1957040777 is 7770407591.

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., 1795725376 + 161315401 = 42376^2 + 12701^2 .

It is a cyclic number.

It is not a de Polignac number, because 1957040777 - 2²⁴ = 1940263561 is a prime.

Together with 1957040779, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1957040779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 978520388 + 978520389.

It is an arithmetic number, because the mean of its divisors is an integer number (978520389).

Almost surely, 2^1957040777 is an apocalyptic number.

It is an amenable number.

1957040777 is a deficient number, since it is larger than the sum of its proper divisors (1).

1957040777 is an equidigital number, since it uses as much as digits as its factorization.

1957040777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432180, while the sum is 47.

The square root of 1957040777 is about 44238.4536009115. The cubic root of 1957040777 is about 1250.8348081122.

The spelling of 1957040777 in words is "one billion, nine hundred fifty-seven million, forty thousand, seven hundred seventy-seven".