1013123257 has 2 divisors, whose sum is σ = 1013123258. Its totient is φ = 1013123256.

The previous prime is 1013123239. The next prime is 1013123299. The reversal of 1013123257 is 7523213101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 721943161 + 291180096 = 26869^2 + 17064^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013123257 - 2¹¹ = 1013121209 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013123057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506561628 + 506561629.

It is an arithmetic number, because the mean of its divisors is an integer number (506561629).

Almost surely, 2^1013123257 is an apocalyptic number.

It is an amenable number.

1013123257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013123257 is an equidigital number, since it uses as much as digits as its factorization.

1013123257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 1013123257 is about 31829.5971856384. The cubic root of 1013123257 is about 1004.3554217609.

Adding to 1013123257 its reverse (7523213101), we get a palindrome (8536336358).

The spelling of 1013123257 in words is "one billion, thirteen million, one hundred twenty-three thousand, two hundred fifty-seven".