2245259499561 has 81 divisors (see below), whose sum is σ = 3649265196759. Its totient is φ = 1380727178064.

The previous prime is 2245259499541. The next prime is 2245259499569. The reversal of 2245259499561 is 1659949525422.

The square root of 2245259499561 is 1498419.

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

2245259499561 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 25 + 9 + 49 + 9 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 332138979225 + 1913120520336 = 576315^2 + 1383156^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 2245259499561 - 2⁷ = 2245259499433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2245259499569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1577834496 + ... + 1577835918.

Almost surely, 2^{2245259499561} is an apocalyptic number.

2245259499561 is the 1498419-th square number.

2245259499561 is the 749210-th centered octagonal number.

It is an amenable number.

2245259499561 is a deficient number, since it is larger than the sum of its proper divisors (1404005697198).

2245259499561 is an frugal number, since it uses more digits than its factorization.

2245259499561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 1439 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 2245259499561 in words is "two trillion, two hundred forty-five billion, two hundred fifty-nine million, four hundred ninety-nine thousand, five hundred sixty-one".