52581008353001 has 16 divisors (see below), whose sum is σ = 57594217274640. Its totient is φ = 47781180518400.

The previous prime is 52581008352979. The next prime is 52581008353009. The reversal of 52581008353001 is 10035380018525.

It can be written as a sum of positive squares in 8 ways, for example, as 2349046675600 + 50231961677401 = 1532660^2 + 7087451^2 .

It is a cyclic number.

It is not a de Polignac number, because 52581008353001 - 2¹⁴ = 52581008336617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 52581008353001.

It is not an unprimeable number, because it can be changed into a prime (52581008353009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89312801 + ... + 89899601.

It is an arithmetic number, because the mean of its divisors is an integer number (3599638579665).

Almost surely, 2^{52581008353001} is an apocalyptic number.

It is an amenable number.

52581008353001 is a deficient number, since it is larger than the sum of its proper divisors (5013208921639).

52581008353001 is a wasteful number, since it uses less digits than its factorization.

52581008353001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768604.

The product of its (nonzero) digits is 144000, while the sum is 41.

The spelling of 52581008353001 in words is "fifty-two trillion, five hundred eighty-one billion, eight million, three hundred fifty-three thousand, one".