2199529252561 has 9 divisors (see below), whose sum is σ = 2203417332081. Its totient is φ = 2195648029584.

The previous prime is 2199529252553. The next prime is 2199529252573. The reversal of 2199529252561 is 1652529259912.

The square root of 2199529252561 is 1483081.

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 751742754961 + 1447786497600 = 867031^2 + 1203240^2 .

It is not a de Polignac number, because 2199529252561 - 2³ = 2199529252553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2199529252496 and 2199529252505.

It is not an unprimeable number, because it can be changed into a prime (2199529250561) 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, 1229473255 + ... + 1229475043.

It is an arithmetic number, because the mean of its divisors is an integer number (244824148009).

Almost surely, 2^{2199529252561} is an apocalyptic number.

2199529252561 is the 1483081-st square number.

2199529252561 is the 741541-st centered octagonal number.

It is an amenable number.

2199529252561 is a deficient number, since it is larger than the sum of its proper divisors (3888079520).

2199529252561 is an frugal number, since it uses more digits than its factorization.

2199529252561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5236 (or 2618 counting only the distinct ones).

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

The spelling of 2199529252561 in words is "two trillion, one hundred ninety-nine billion, five hundred twenty-nine million, two hundred fifty-two thousand, five hundred sixty-one".