2546497850625 has 45 divisors (see below), whose sum is σ = 4596588067071. Its totient is φ = 1358068356000.

The previous prime is 2546497850599. The next prime is 2546497850627. The reversal of 2546497850625 is 5260587946452.

The square root of 2546497850625 is 1595775.

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

2546497850625 is a `hidden beast` number, since 2 + 5 + 4 + 6 + 497 + 85 + 0 + 62 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2537238022641 + 9259827984 = 1592871^2 + 96228^2 .

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

It is not a de Polignac number, because 2546497850625 - 2⁷ = 2546497850497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2546497850627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 119672487 + ... + 119693763.

Almost surely, 2^{2546497850625} is an apocalyptic number.

2546497850625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2546497850625 is the 1595775-th square number.

2546497850625 is the 797888-th centered octagonal number.

It is an amenable number.

2546497850625 is a deficient number, since it is larger than the sum of its proper divisors (2050090216446).

2546497850625 is an frugal number, since it uses more digits than its factorization.

2546497850625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42580 (or 21285 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 2546497850625 in words is "two trillion, five hundred forty-six billion, four hundred ninety-seven million, eight hundred fifty thousand, six hundred twenty-five".