2057137421 has 2 divisors, whose sum is σ = 2057137422. Its totient is φ = 2057137420.

The previous prime is 2057137373. The next prime is 2057137427. The reversal of 2057137421 is 1247317502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1746320521 + 310816900 = 41789^2 + 17630^2 .

It is a cyclic number.

It is not a de Polignac number, because 2057137421 - 2¹⁴ = 2057121037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2057137427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1028568710 + 1028568711.

It is an arithmetic number, because the mean of its divisors is an integer number (1028568711).

Almost surely, 2^2057137421 is an apocalyptic number.

It is an amenable number.

2057137421 is a deficient number, since it is larger than the sum of its proper divisors (1).

2057137421 is an equidigital number, since it uses as much as digits as its factorization.

2057137421 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 2057137421 is about 45355.6768332256. The cubic root of 2057137421 is about 1271.8066792569.

The spelling of 2057137421 in words is "two billion, fifty-seven million, one hundred thirty-seven thousand, four hundred twenty-one".