2545782993601 has 27 divisors (see below), whose sum is σ = 2711604515529. Its totient is φ = 2389956696288.

The previous prime is 2545782993569. The next prime is 2545782993701. The reversal of 2545782993601 is 1063992875452.

The square root of 2545782993601 is 1595551.

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

2545782993601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 541791684225 + 2003991309376 = 736065^2 + 1415624^2 .

It is not a de Polignac number, because 2545782993601 - 2⁵ = 2545782993569 is a prime.

It is a super-2 number, since 2×2545782993601² (a number of 26 digits) contains 22 as substring.

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 2545782993601.

It is not an unprimeable number, because it can be changed into a prime (2545782993301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1712025480 + ... + 1712026966.

It is a 1-persistent number, because it is pandigital, but 2⋅2545782993601 = 5091565987202 is not.

Almost surely, 2^{2545782993601} is an apocalyptic number.

2545782993601 is the 1595551-st square number.

2545782993601 is the 797776-th centered octagonal number.

It is an amenable number.

2545782993601 is a deficient number, since it is larger than the sum of its proper divisors (165821521928).

2545782993601 is an frugal number, since it uses more digits than its factorization.

2545782993601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 61.

The spelling of 2545782993601 in words is "two trillion, five hundred forty-five billion, seven hundred eighty-two million, nine hundred ninety-three thousand, six hundred one".