249480919351225 has 81 divisors (see below), whose sum is σ = 322005251941677. Its totient is φ = 191738239128000.

The previous prime is 249480919351219. The next prime is 249480919351249. The reversal of 249480919351225 is 522153919084942.

The square root of 249480919351225 is 15794965.

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 133895886252921 + 115585033098304 = 11571339^2 + 10751048^2 .

It is not a de Polignac number, because 249480919351225 - 2¹⁵ = 249480919318457 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 443127742794 + ... + 443127743356.

Almost surely, 2^{249480919351225} is an apocalyptic number.

249480919351225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

249480919351225 is the 15794965-th square number.

249480919351225 is the 7897483-rd centered octagonal number.

It is an amenable number.

249480919351225 is a deficient number, since it is larger than the sum of its proper divisors (72524332590452).

249480919351225 is an frugal number, since it uses more digits than its factorization.

249480919351225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 64.

The spelling of 249480919351225 in words is "two hundred forty-nine trillion, four hundred eighty billion, nine hundred nineteen million, three hundred fifty-one thousand, two hundred twenty-five".