852507457 has 2 divisors, whose sum is σ = 852507458. Its totient is φ = 852507456.

The previous prime is 852507431. The next prime is 852507473. The reversal of 852507457 is 754705258.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 768620176 + 83887281 = 27724^2 + 9159^2 .

It is a cyclic number.

It is not a de Polignac number, because 852507457 - 2⁷ = 852507329 is a prime.

It is a super-3 number, since 3×852507457³ (a number of 28 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (852547457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426253728 + 426253729.

It is an arithmetic number, because the mean of its divisors is an integer number (426253729).

Almost surely, 2^852507457 is an apocalyptic number.

It is an amenable number.

852507457 is a deficient number, since it is larger than the sum of its proper divisors (1).

852507457 is an equidigital number, since it uses as much as digits as its factorization.

852507457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392000, while the sum is 43.

The square root of 852507457 is about 29197.7303398740. The cubic root of 852507457 is about 948.1987872194.

The spelling of 852507457 in words is "eight hundred fifty-two million, five hundred seven thousand, four hundred fifty-seven".