1256413632 has 168 divisors, whose sum is σ = 3568061952. Its totient is φ = 389760000.

The previous prime is 1256413621. The next prime is 1256413649. The reversal of 1256413632 is 2363146521.

It is a junction number, because it is equal to n+sod(n) for n = 1256413593 and 1256413602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5005507 + ... + 5005757.

It is an arithmetic number, because the mean of its divisors is an integer number (21238464).

Almost surely, 2^1256413632 is an apocalyptic number.

1256413632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1256413632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784030976).

1256413632 is an abundant number, since it is smaller than the sum of its proper divisors (2311648320).

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

1256413632 is a wasteful number, since it uses less digits than its factorization.

1256413632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 316 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 1256413632 is about 35445.9254640078. The cubic root of 1256413632 is about 1079.0565697998.

The spelling of 1256413632 in words is "one billion, two hundred fifty-six million, four hundred thirteen thousand, six hundred thirty-two".