340793250625 has 45 divisors (see below), whose sum is σ = 449814334431. Its totient is φ = 258075252000.

The previous prime is 340793250607. The next prime is 340793250643. The reversal of 340793250625 is 526052397043.

The square root of 340793250625 is 583775.

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

It is an interprime number because it is at equal distance from previous prime (340793250607) and next prime (340793250643).

It can be written as a sum of positive squares in 7 ways, for example, as 51181370289 + 289611880336 = 226233^2 + 538156^2 .

It is not a de Polignac number, because 340793250625 - 2⁵ = 340793250593 is a prime.

It is a super-2 number, since 2×340793250625² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 277292511 + ... + 277293739.

Almost surely, 2^340793250625 is an apocalyptic number.

340793250625 is the 583775-th square number.

340793250625 is the 291888-th centered octagonal number.

It is an amenable number.

340793250625 is a deficient number, since it is larger than the sum of its proper divisors (109021083806).

340793250625 is an frugal number, since it uses more digits than its factorization.

340793250625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 46.

The spelling of 340793250625 in words is "three hundred forty billion, seven hundred ninety-three million, two hundred fifty thousand, six hundred twenty-five".