2545617059001 has 9 divisors (see below), whose sum is σ = 3677009332399. Its totient is φ = 1697074848336.

The previous prime is 2545617058979. The next prime is 2545617059053. The reversal of 2545617059001 is 1009507165452.

It is a happy number.

The square root of 2545617059001 is 1595499.

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

2545617059001 is a `hidden beast` number, since 2 + 5 + 4 + 56 + 1 + 7 + 0 + 590 + 0 + 1 = 666.

2545617059001 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 only one way, i.e., 2510339204025 + 35277854976 = 1584405^2 + 187824^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2545617059001 - 2¹¹ = 2545617056953 is a prime.

It is a super-2 number, since 2×2545617059001² (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 (2545617051001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4520581 + ... + 5052413.

Almost surely, 2^{2545617059001} is an apocalyptic number.

2545617059001 is the 1595499-th square number.

2545617059001 is the 797750-th centered octagonal number.

It is an amenable number.

2545617059001 is a deficient number, since it is larger than the sum of its proper divisors (1131392273398).

2545617059001 is an frugal number, since it uses more digits than its factorization.

2545617059001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063672 (or 531836 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 2545617059001 in words is "two trillion, five hundred forty-five billion, six hundred seventeen million, fifty-nine thousand, one".