1256876401 has 8 divisors (see below), whose sum is σ = 1371456864. Its totient is φ = 1142349120.

The previous prime is 1256876371. The next prime is 1256876417. The reversal of 1256876401 is 1046786521.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1256876401 - 2²⁷ = 1122658673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1256876471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48730 + ... + 69916.

It is an arithmetic number, because the mean of its divisors is an integer number (171432108).

Almost surely, 2^1256876401 is an apocalyptic number.

1256876401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1256876401 is a deficient number, since it is larger than the sum of its proper divisors (114580463).

1256876401 is a wasteful number, since it uses less digits than its factorization.

1256876401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26591.

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 1256876401 is about 35452.4526796102. The cubic root of 1256876401 is about 1079.1890348366.

The spelling of 1256876401 in words is "one billion, two hundred fifty-six million, eight hundred seventy-six thousand, four hundred one".