1257454013 has 2 divisors, whose sum is σ = 1257454014. Its totient is φ = 1257454012.

The previous prime is 1257453983. The next prime is 1257454043. The reversal of 1257454013 is 3104547521.

It is a balanced prime because it is at equal distance from previous prime (1257453983) and next prime (1257454043).

It can be written as a sum of positive squares in only one way, i.e., 1154776324 + 102677689 = 33982^2 + 10133^2 .

It is a cyclic number.

It is not a de Polignac number, because 1257454013 - 2¹⁶ = 1257388477 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1257454043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 628727006 + 628727007.

It is an arithmetic number, because the mean of its divisors is an integer number (628727007).

Almost surely, 2^1257454013 is an apocalyptic number.

It is an amenable number.

1257454013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1257454013 is an equidigital number, since it uses as much as digits as its factorization.

1257454013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 1257454013 is about 35460.5980350022. The cubic root of 1257454013 is about 1079.3543274279.

The spelling of 1257454013 in words is "one billion, two hundred fifty-seven million, four hundred fifty-four thousand, thirteen".