2666411397225 has 135 divisors (see below), whose sum is σ = 4995139373301. Its totient is φ = 1406135764800.

The previous prime is 2666411397217. The next prime is 2666411397241. The reversal of 2666411397225 is 5227931146662.

It is a happy number.

The square root of 2666411397225 is 1632915.

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 611018932329 + 2055392464896 = 781677^2 + 1433664^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 2666411397225 - 2³ = 2666411397217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9626033787 + ... + 9626034063.

Almost surely, 2^{2666411397225} is an apocalyptic number.

2666411397225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2666411397225 is the 1632915-th square number.

2666411397225 is the 816458-th centered octagonal number.

It is an amenable number.

2666411397225 is a deficient number, since it is larger than the sum of its proper divisors (2328727976076).

2666411397225 is an frugal number, since it uses more digits than its factorization.

2666411397225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 416 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 2666411397225 in words is "two trillion, six hundred sixty-six billion, four hundred eleven million, three hundred ninety-seven thousand, two hundred twenty-five".