4251952849 has 9 divisors (see below), whose sum is σ = 4286596251. Its totient is φ = 4217588760.

The previous prime is 4251952811. The next prime is 4251952877. The reversal of 4251952849 is 9482591524.

The square root of 4251952849 is 65207.

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., 4166057025 + 85895824 = 64545^2 + 9268^2 .

It is not a de Polignac number, because 4251952849 - 2⁷ = 4251952721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4251952879) 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, 12845614 + ... + 12845944.

Almost surely, 2^4251952849 is an apocalyptic number.

4251952849 is the 65207-th square number.

4251952849 is the 32604-th centered octagonal number.

It is an amenable number.

4251952849 is a deficient number, since it is larger than the sum of its proper divisors (34643402).

4251952849 is an frugal number, since it uses more digits than its factorization.

4251952849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 528 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 49.

The cubic root of 4251952849 is about 1620.0539596161.

Multiplying 4251952849 by its sum of digits (49), we get a square (208345689601 = 456449²).

The spelling of 4251952849 in words is "four billion, two hundred fifty-one million, nine hundred fifty-two thousand, eight hundred forty-nine".