407307005146253 has 2 divisors, whose sum is σ = 407307005146254. Its totient is φ = 407307005146252.

The previous prime is 407307005146207. The next prime is 407307005146267. The reversal of 407307005146253 is 352641500703704.

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., 396612522407689 + 10694482738564 = 19915133^2 + 3270242^2 .

It is a cyclic number.

It is not a de Polignac number, because 407307005146253 - 2²⁴ = 407306988369037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 407307005146198 and 407307005146207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407307005346253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203653502573126 + 203653502573127.

It is an arithmetic number, because the mean of its divisors is an integer number (203653502573127).

Almost surely, 2^{407307005146253} is an apocalyptic number.

It is an amenable number.

407307005146253 is a deficient number, since it is larger than the sum of its proper divisors (1).

407307005146253 is an equidigital number, since it uses as much as digits as its factorization.

407307005146253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2116800, while the sum is 47.

Adding to 407307005146253 its reverse (352641500703704), we get a palindrome (759948505849957).

The spelling of 407307005146253 in words is "four hundred seven trillion, three hundred seven billion, five million, one hundred forty-six thousand, two hundred fifty-three".