249425330625 has 45 divisors (see below), whose sum is σ = 450274797973. Its totient is φ = 133006866000.

The previous prime is 249425330611. The next prime is 249425330653. The reversal of 249425330625 is 526033524942.

The square root of 249425330625 is 499425.

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

249425330625 is a `hidden beast` number, since 2 + 4 + 94 + 2 + 533 + 0 + 6 + 25 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19554945921 + 229870384704 = 139839^2 + 479448^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 249425330625 - 2⁹ = 249425330113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 37453546 + ... + 37460204.

Almost surely, 2^249425330625 is an apocalyptic number.

249425330625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

249425330625 is the 499425-th square number.

249425330625 is the 249713-rd centered octagonal number.

It is an amenable number.

249425330625 is a deficient number, since it is larger than the sum of its proper divisors (200849467348).

249425330625 is an frugal number, since it uses more digits than its factorization.

249425330625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13344 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 249425330625 in words is "two hundred forty-nine billion, four hundred twenty-five million, three hundred thirty thousand, six hundred twenty-five".