1027461257 has 2 divisors, whose sum is σ = 1027461258. Its totient is φ = 1027461256.

The previous prime is 1027461217. The next prime is 1027461269. The reversal of 1027461257 is 7521647201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 729864256 + 297597001 = 27016^2 + 17251^2 .

It is a cyclic number.

It is not a de Polignac number, because 1027461257 - 2²⁸ = 759025801 is a prime.

It is not a weakly prime, because it can be changed into another prime (1027461217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 513730628 + 513730629.

It is an arithmetic number, because the mean of its divisors is an integer number (513730629).

Almost surely, 2^1027461257 is an apocalyptic number.

It is an amenable number.

1027461257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1027461257 is an equidigital number, since it uses as much as digits as its factorization.

1027461257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 1027461257 is about 32054.0365164826. The cubic root of 1027461257 is about 1009.0712165493.

The spelling of 1027461257 in words is "one billion, twenty-seven million, four hundred sixty-one thousand, two hundred fifty-seven".