2095525493649 has 81 divisors (see below), whose sum is σ = 3648190195377. Its totient is φ = 1155665605248.

The previous prime is 2095525493641. The next prime is 2095525493669. The reversal of 2095525493649 is 9463945255902.

The square root of 2095525493649 is 1447593.

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

2095525493649 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 52 + 549 + 36 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13657428225 + 2081868065424 = 116865^2 + 1442868^2 .

It is not a de Polignac number, because 2095525493649 - 2³ = 2095525493641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2095525493641) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 881582949 + ... + 881585325.

Almost surely, 2^{2095525493649} is an apocalyptic number.

2095525493649 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2095525493649 is the 1447593-rd square number.

2095525493649 is the 723797-th centered octagonal number.

It is an amenable number.

2095525493649 is a deficient number, since it is larger than the sum of its proper divisors (1552664701728).

2095525493649 is an frugal number, since it uses more digits than its factorization.

2095525493649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 63.

The spelling of 2095525493649 in words is "two trillion, ninety-five billion, five hundred twenty-five million, four hundred ninety-three thousand, six hundred forty-nine".