1289256045 has 128 divisors (see below), whose sum is σ = 2708398080. Its totient is φ = 508032000.

The previous prime is 1289256037. The next prime is 1289256061. The reversal of 1289256045 is 5406529821.

It is not a de Polignac number, because 1289256045 - 2³ = 1289256037 is a prime.

It is a super-2 number, since 2×1289256045² = 3324362299138084050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1289255988 and 1289256006.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2042880 + ... + 2043510.

It is an arithmetic number, because the mean of its divisors is an integer number (21159360).

Almost surely, 2^1289256045 is an apocalyptic number.

1289256045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1289256045 is an abundant number, since it is smaller than the sum of its proper divisors (1419142035).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1289256045 is a wasteful number, since it uses less digits than its factorization.

1289256045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747.

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 1289256045 is about 35906.2117884914. The cubic root of 1289256045 is about 1088.3779270835.

The spelling of 1289256045 in words is "one billion, two hundred eighty-nine million, two hundred fifty-six thousand, forty-five".