1256445825 has 24 divisors (see below), whose sum is σ = 2116525248. Its totient is φ = 657458880.

The previous prime is 1256445821. The next prime is 1256445893. The reversal of 1256445825 is 5285446521.

1256445825 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1256445825 - 2² = 1256445821 is a prime.

It is a super-2 number, since 2×1256445825² = 3157312222319861250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1256445821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154069 + ... + 162018.

It is an arithmetic number, because the mean of its divisors is an integer number (88188552).

Almost surely, 2^1256445825 is an apocalyptic number.

1256445825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1256445825 is a deficient number, since it is larger than the sum of its proper divisors (860079423).

1256445825 is a wasteful number, since it uses less digits than its factorization.

1256445825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316153 (or 316148 counting only the distinct ones).

The product of its digits is 384000, while the sum is 42.

The square root of 1256445825 is about 35446.3795753530. The cubic root of 1256445825 is about 1079.0657859185.

The spelling of 1256445825 in words is "one billion, two hundred fifty-six million, four hundred forty-five thousand, eight hundred twenty-five".