126585001 has 3 divisors (see below), whose sum is σ = 126596253. Its totient is φ = 126573750.

The previous prime is 126584989. The next prime is 126585013. The reversal of 126585001 is 100585621.

The square root of 126585001 is 11251.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 100585621 = 1319 ⋅76259.

It is an interprime number because it is at equal distance from previous prime (126584989) and next prime (126585013).

It is not a de Polignac number, because 126585001 - 2¹³ = 126576809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126585061) 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 in 2 ways as a sum of consecutive naturals, for example, 5626 + ... + 16876.

It is an arithmetic number, because the mean of its divisors is an integer number (42198751).

Almost surely, 2^126585001 is an apocalyptic number.

126585001 is the 11251-st square number.

126585001 is the 5626-th centered octagonal number.

It is an amenable number.

126585001 is a deficient number, since it is larger than the sum of its proper divisors (11252).

126585001 is an frugal number, since it uses more digits than its factorization.

126585001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22502 (or 11251 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The cubic root of 126585001 is about 502.1044646964.

The spelling of 126585001 in words is "one hundred twenty-six million, five hundred eighty-five thousand, one".