56265001 has 9 divisors (see below), whose sum is σ = 61031781. Its totient is φ = 51846912.

The previous prime is 56264977. The next prime is 56265029. The reversal of 56265001 is 10056265.

The square root of 56265001 is 7501.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5285401 + 50979600 = 2299^2 + 7140^2 .

It is not a de Polignac number, because 56265001 - 2¹¹ = 56262953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56265401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 97225 + ... + 97801.

It is an arithmetic number, because the mean of its divisors is an integer number (6781309).

Almost surely, 2^56265001 is an apocalyptic number.

56265001 is the 7501-st square number.

56265001 is the 3751-st centered octagonal number.

It is an amenable number.

56265001 is a deficient number, since it is larger than the sum of its proper divisors (4766780).

56265001 is an frugal number, since it uses more digits than its factorization.

56265001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The cubic root of 56265001 is about 383.1887736370.

Multiplying 56265001 by its sum of digits (25), we get a square (1406625025 = 37505²).

The spelling of 56265001 in words is "fifty-six million, two hundred sixty-five thousand, one".