25219663249 has 9 divisors (see below), whose sum is σ = 27722707131. Its totient is φ = 22925378520.

The previous prime is 25219663201. The next prime is 25219663279. The reversal of 25219663249 is 94236691252.

The square root of 25219663249 is 158807.

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

It can be written as a sum of positive squares in only one way, i.e., 12601185025 + 12618478224 = 112255^2 + 112332^2 .

It is not a de Polignac number, because 25219663249 - 2⁷ = 25219663121 is a prime.

It is a super-2 number, since 2×25219663249² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25219663279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1739659 + ... + 1754095.

Almost surely, 2^25219663249 is an apocalyptic number.

25219663249 is the 158807-th square number.

25219663249 is the 79404-th centered octagonal number.

It is an amenable number.

25219663249 is a deficient number, since it is larger than the sum of its proper divisors (2503043882).

25219663249 is an frugal number, since it uses more digits than its factorization.

25219663249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28896 (or 14448 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 49.

Multiplying 25219663249 by its sum of digits (49), we get a square (1235763499201 = 1111649²).

The spelling of 25219663249 in words is "twenty-five billion, two hundred nineteen million, six hundred sixty-three thousand, two hundred forty-nine".