2559203262001 has 27 divisors (see below), whose sum is σ = 2742349714689. Its totient is φ = 2387801140608.

The previous prime is 2559203261987. The next prime is 2559203262023. The reversal of 2559203262001 is 1002623029552.

It is a happy number.

The square root of 2559203262001 is 1599751.

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 1821287901601 + 737915360400 = 1349551^2 + 859020^2 .

It is not a de Polignac number, because 2559203262001 - 2⁵ = 2559203261969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2559203265001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3780211275 + ... + 3780211951.

Almost surely, 2^{2559203262001} is an apocalyptic number.

2559203262001 is the 1599751-st square number.

2559203262001 is the 799876-th centered octagonal number.

It is an amenable number.

2559203262001 is a deficient number, since it is larger than the sum of its proper divisors (183146452688).

2559203262001 is an frugal number, since it uses more digits than its factorization.

2559203262001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 2559203262001 in words is "two trillion, five hundred fifty-nine billion, two hundred three million, two hundred sixty-two thousand, one".