1256756130 has 96 divisors (see below), whose sum is σ = 3771525888. Its totient is φ = 284400000.

The previous prime is 1256756119. The next prime is 1256756131. The reversal of 1256756130 is 316576521.

1256756130 is a `hidden beast` number, since 1 + 2 + 5 + 67 + 561 + 30 = 666.

It is not an unprimeable number, because it can be changed into a prime (1256756131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53755 + ... + 73505.

It is an arithmetic number, because the mean of its divisors is an integer number (39286728).

Almost surely, 2^1256756130 is an apocalyptic number.

1256756130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1256756130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885762944).

1256756130 is an abundant number, since it is smaller than the sum of its proper divisors (2514769758).

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

1256756130 is a wasteful number, since it uses less digits than its factorization.

1256756130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19872 (or 19869 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1256756130 is about 35450.7564094195. The cubic root of 1256756130 is about 1079.1546110634.

It can be divided in two parts, 12567561 and 30, that added together give a triangular number (12567591 = T₅₀₁₃).

The spelling of 1256756130 in words is "one billion, two hundred fifty-six million, seven hundred fifty-six thousand, one hundred thirty".