73826003257 has 2 divisors, whose sum is σ = 73826003258. Its totient is φ = 73826003256.

The previous prime is 73826003243. The next prime is 73826003263. The reversal of 73826003257 is 75230062837.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68110038441 + 5715964816 = 260979^2 + 75604^2 .

It is an emirp because it is prime and its reverse (75230062837) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73826003257 - 2³¹ = 71678519609 is a prime.

It is not a weakly prime, because it can be changed into another prime (73826007257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36913001628 + 36913001629.

It is an arithmetic number, because the mean of its divisors is an integer number (36913001629).

Almost surely, 2^73826003257 is an apocalyptic number.

It is an amenable number.

73826003257 is a deficient number, since it is larger than the sum of its proper divisors (1).

73826003257 is an equidigital number, since it uses as much as digits as its factorization.

73826003257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 73826003257 in words is "seventy-three billion, eight hundred twenty-six million, three thousand, two hundred fifty-seven".