406265610337 has 2 divisors, whose sum is σ = 406265610338. Its totient is φ = 406265610336.

The previous prime is 406265610263. The next prime is 406265610383. The reversal of 406265610337 is 733016562604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 371125858401 + 35139751936 = 609201^2 + 187456^2 .

It is a cyclic number.

It is not a de Polignac number, because 406265610337 - 2²³ = 406257221729 is a prime.

It is a super-2 number, since 2×406265610337² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 406265610293 and 406265610302.

It is not a weakly prime, because it can be changed into another prime (406265610437) 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, 203132805168 + 203132805169.

It is an arithmetic number, because the mean of its divisors is an integer number (203132805169).

Almost surely, 2^406265610337 is an apocalyptic number.

It is an amenable number.

406265610337 is a deficient number, since it is larger than the sum of its proper divisors (1).

406265610337 is an equidigital number, since it uses as much as digits as its factorization.

406265610337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 43.

The spelling of 406265610337 in words is "four hundred six billion, two hundred sixty-five million, six hundred ten thousand, three hundred thirty-seven".