85724579257 has 2 divisors, whose sum is σ = 85724579258. Its totient is φ = 85724579256.

The previous prime is 85724579251. The next prime is 85724579263. The reversal of 85724579257 is 75297542758.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (85724579251) and next prime (85724579263).

It can be written as a sum of positive squares in only one way, i.e., 57396659776 + 28327919481 = 239576^2 + 168309^2 .

It is a cyclic number.

It is not a de Polignac number, because 85724579257 - 2¹⁵ = 85724546489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85724579195 and 85724579204.

It is not a weakly prime, because it can be changed into another prime (85724579251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42862289628 + 42862289629.

It is an arithmetic number, because the mean of its divisors is an integer number (42862289629).

Almost surely, 2^85724579257 is an apocalyptic number.

It is an amenable number.

85724579257 is a deficient number, since it is larger than the sum of its proper divisors (1).

85724579257 is an equidigital number, since it uses as much as digits as its factorization.

85724579257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 49392000, while the sum is 61.

The spelling of 85724579257 in words is "eighty-five billion, seven hundred twenty-four million, five hundred seventy-nine thousand, two hundred fifty-seven".