8257401011 has 2 divisors, whose sum is σ = 8257401012. Its totient is φ = 8257401010.

The previous prime is 8257400999. The next prime is 8257401013. The reversal of 8257401011 is 1101047528.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 8257401011 - 2²² = 8253206707 is a prime.

It is a Sophie Germain prime.

Together with 8257401013, 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 (8257401013) 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, 4128700505 + 4128700506.

It is an arithmetic number, because the mean of its divisors is an integer number (4128700506).

Almost surely, 2^8257401011 is an apocalyptic number.

8257401011 is a deficient number, since it is larger than the sum of its proper divisors (1).

8257401011 is an equidigital number, since it uses as much as digits as its factorization.

8257401011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 8257401011 is about 90870.2427145432. The cubic root of 8257401011 is about 2021.2240572305.

Adding to 8257401011 its reverse (1101047528), we get a palindrome (9358448539).

The spelling of 8257401011 in words is "eight billion, two hundred fifty-seven million, four hundred one thousand, eleven".