2591459259601 has 3 divisors (see below), whose sum is σ = 2591460869403. Its totient is φ = 2591457649800.

The previous prime is 2591459259589. The next prime is 2591459259661. The reversal of 2591459259601 is 1069529541952.

The square root of 2591459259601 is 1609801.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 2450474029201 + 140985230400 = 1565399^2 + 375480^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2591459259601 is a prime.

It is a super-2 number, since 2×2591459259601² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2591459259661) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 804901 + ... + 2414701.

It is an arithmetic number, because the mean of its divisors is an integer number (863820289801).

Almost surely, 2^{2591459259601} is an apocalyptic number.

2591459259601 is the 1609801-st square number.

2591459259601 is the 804901-st centered octagonal number.

It is an amenable number.

2591459259601 is a deficient number, since it is larger than the sum of its proper divisors (1609802).

2591459259601 is an frugal number, since it uses more digits than its factorization.

2591459259601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219602 (or 1609801 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 58.

The spelling of 2591459259601 in words is "two trillion, five hundred ninety-one billion, four hundred fifty-nine million, two hundred fifty-nine thousand, six hundred one".