52581601 has 2 divisors, whose sum is σ = 52581602. Its totient is φ = 52581600.

The previous prime is 52581593. The next prime is 52581631. The reversal of 52581601 is 10618525.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32547025 + 20034576 = 5705^2 + 4476^2 .

It is a cyclic number.

It is not a de Polignac number, because 52581601 - 2³ = 52581593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52581601.

It is not a weakly prime, because it can be changed into another prime (52581631) 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 as a sum of consecutive naturals, namely, 26290800 + 26290801.

It is an arithmetic number, because the mean of its divisors is an integer number (26290801).

Almost surely, 2^52581601 is an apocalyptic number.

It is an amenable number.

52581601 is a deficient number, since it is larger than the sum of its proper divisors (1).

52581601 is an equidigital number, since it uses as much as digits as its factorization.

52581601 is an odious number, because the sum of its binary digits is odd.

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

The square root of 52581601 is about 7251.3171906903. The cubic root of 52581601 is about 374.6375187696.

It can be divided in two parts, 5258 and 1601, that added together give a cube (6859 = 19³).

The spelling of 52581601 in words is "fifty-two million, five hundred eighty-one thousand, six hundred one".