807624713795993 has 2 divisors, whose sum is σ = 807624713795994. Its totient is φ = 807624713795992.

The previous prime is 807624713795959. The next prime is 807624713796031. The reversal of 807624713795993 is 399597317426708.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 633599226931609 + 174025486864384 = 25171397^2 + 13191872^2 .

It is a cyclic number.

It is not a de Polignac number, because 807624713795993 - 2³⁶ = 807555994319257 is a prime.

It is not a weakly prime, because it can be changed into another prime (807624713795953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 403812356897996 + 403812356897997.

It is an arithmetic number, because the mean of its divisors is an integer number (403812356897997).

It is a 1-persistent number, because it is pandigital, but 2⋅807624713795993 = 1615249427591986 is not.

Almost surely, 2^{807624713795993} is an apocalyptic number.

It is an amenable number.

807624713795993 is a deficient number, since it is larger than the sum of its proper divisors (1).

807624713795993 is an equidigital number, since it uses as much as digits as its factorization.

807624713795993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320812160, while the sum is 80.

The spelling of 807624713795993 in words is "eight hundred seven trillion, six hundred twenty-four billion, seven hundred thirteen million, seven hundred ninety-five thousand, nine hundred ninety-three".