405131257 has 2 divisors, whose sum is σ = 405131258. Its totient is φ = 405131256.

The previous prime is 405131231. The next prime is 405131261. The reversal of 405131257 is 752131504.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 388720656 + 16410601 = 19716^2 + 4051^2 .

It is a cyclic number.

It is not a de Polignac number, because 405131257 - 2¹¹ = 405129209 is a prime.

It is not a weakly prime, because it can be changed into another prime (405131297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202565628 + 202565629.

It is an arithmetic number, because the mean of its divisors is an integer number (202565629).

Almost surely, 2^405131257 is an apocalyptic number.

It is an amenable number.

405131257 is a deficient number, since it is larger than the sum of its proper divisors (1).

405131257 is an equidigital number, since it uses as much as digits as its factorization.

405131257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 405131257 is about 20127.8726397004. The cubic root of 405131257 is about 739.9435414681.

The spelling of 405131257 in words is "four hundred five million, one hundred thirty-one thousand, two hundred fifty-seven".