2049263825625 has 45 divisors (see below), whose sum is σ = 3699069466521. Its totient is φ = 1092883446000.

The previous prime is 2049263825603. The next prime is 2049263825647. The reversal of 2049263825625 is 5265283629402.

The square root of 2049263825625 is 1431525.

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

2049263825625 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 2 + 6 + 3 + 8 + 2 + 5 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (2049263825603) and next prime (2049263825647).

It can be written as a sum of positive squares in 2 ways, for example, as 160662283929 + 1888601541696 = 400827^2 + 1374264^2 .

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

It is not a de Polignac number, because 2049263825625 - 2²⁹ = 2048726954713 is a prime.

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, 107354832 + ... + 107373918.

Almost surely, 2^{2049263825625} is an apocalyptic number.

2049263825625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2049263825625 is the 1431525-th square number.

2049263825625 is the 715763-rd centered octagonal number.

It is an amenable number.

2049263825625 is a deficient number, since it is larger than the sum of its proper divisors (1649805640896).

2049263825625 is an frugal number, since it uses more digits than its factorization.

2049263825625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38200 (or 19095 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 2049263825625 in words is "two trillion, forty-nine billion, two hundred sixty-three million, eight hundred twenty-five thousand, six hundred twenty-five".