1289757705625 has 15 divisors (see below), whose sum is σ = 1611716708217. Its totient is φ = 1031783451000.

The previous prime is 1289757705619. The next prime is 1289757705641. The reversal of 1289757705625 is 5265077579821.

The square root of 1289757705625 is 1135675.

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

It can be written as a sum of positive squares in 2 ways, for example, as 101117004121 + 1188640701504 = 317989^2 + 1090248^2 .

It is not a de Polignac number, because 1289757705625 - 2³¹ = 1287610221977 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

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 14 ways as a sum of consecutive naturals, for example, 28369162 + ... + 28414588.

Almost surely, 2^{1289757705625} is an apocalyptic number.

1289757705625 is the 1135675-th square number.

1289757705625 is the 567838-th centered octagonal number.

It is an amenable number.

1289757705625 is a deficient number, since it is larger than the sum of its proper divisors (321959002592).

1289757705625 is an frugal number, since it uses more digits than its factorization.

1289757705625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90874 (or 45432 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 64.

Multiplying 1289757705625 by its sum of digits (64), we get a square (82544493160000 = 9085400²).

The spelling of 1289757705625 in words is "one trillion, two hundred eighty-nine billion, seven hundred fifty-seven million, seven hundred five thousand, six hundred twenty-five".