85507001 has 2 divisors, whose sum is σ = 85507002. Its totient is φ = 85507000.

The previous prime is 85506983. The next prime is 85507007. The reversal of 85507001 is 10070558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53640976 + 31866025 = 7324^2 + 5645^2 .

It is a cyclic number.

It is not a de Polignac number, because 85507001 - 2⁶ = 85506937 is a prime.

It is a super-2 number, since 2×85507001² = 14622894440028002, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85507007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42753500 + 42753501.

It is an arithmetic number, because the mean of its divisors is an integer number (42753501).

Almost surely, 2^85507001 is an apocalyptic number.

It is an amenable number.

85507001 is a deficient number, since it is larger than the sum of its proper divisors (1).

85507001 is an equidigital number, since it uses as much as digits as its factorization.

85507001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 85507001 is about 9246.9995674273. Note that the first 3 decimals coincide. The cubic root of 85507001 is about 440.5554297619. Note that the first 3 decimals are identical.

Adding to 85507001 its reverse (10070558), we get a palindrome (95577559).

It can be divided in two parts, 8550 and 7001, that added together give a palindrome (15551).

The spelling of 85507001 in words is "eighty-five million, five hundred seven thousand, one".