52577001 has 9 divisors (see below), whose sum is σ = 75975991. Its totient is φ = 35036832.

The previous prime is 52576987. The next prime is 52577053. The reversal of 52577001 is 10077525.

The square root of 52577001 is 7251.

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

It can be written as a sum of positive squares in only one way, i.e., 51194025 + 1382976 = 7155^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 52577001 - 2⁵ = 52576969 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52577101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20545 + ... + 22961.

Almost surely, 2^52577001 is an apocalyptic number.

52577001 is the 7251-st square number.

52577001 is the 3626-th centered octagonal number.

It is an amenable number.

52577001 is a deficient number, since it is larger than the sum of its proper divisors (23398990).

52577001 is an frugal number, since it uses more digits than its factorization.

52577001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The cubic root of 52577001 is about 374.6265936372.

The spelling of 52577001 in words is "fifty-two million, five hundred seventy-seven thousand, one".