1256948567 has 24 divisors (see below), whose sum is σ = 1551995520. Its totient is φ = 996727680.

The previous prime is 1256948509. The next prime is 1256948569. The reversal of 1256948567 is 7658496521.

It is not a de Polignac number, because 1256948567 - 2⁶ = 1256948503 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256948569) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 114092 + ... + 124622.

It is an arithmetic number, because the mean of its divisors is an integer number (64666480).

Almost surely, 2^1256948567 is an apocalyptic number.

1256948567 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1256948567 is a deficient number, since it is larger than the sum of its proper divisors (295046953).

1256948567 is a wasteful number, since it uses less digits than its factorization.

1256948567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10631 (or 10614 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 53.

The square root of 1256948567 is about 35453.4704507189. The cubic root of 1256948567 is about 1079.2096890196.

The spelling of 1256948567 in words is "one billion, two hundred fifty-six million, nine hundred forty-eight thousand, five hundred sixty-seven".