1256650752 has 192 divisors, whose sum is σ = 3899750400. Its totient is φ = 352419840.

The previous prime is 1256650741. The next prime is 1256650757. The reversal of 1256650752 is 2570566521.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1256650752² = 3158342225004331008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1256650752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256650757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2623249 + ... + 2623727.

It is an arithmetic number, because the mean of its divisors is an integer number (20311200).

Almost surely, 2^1256650752 is an apocalyptic number.

1256650752 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 1256650752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949875200).

1256650752 is an abundant number, since it is smaller than the sum of its proper divisors (2643099648).

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

1256650752 is an equidigital number, since it uses as much as digits as its factorization.

1256650752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 1256650752 is about 35449.2701194256. The cubic root of 1256650752 is about 1079.1244481356.

The spelling of 1256650752 in words is "one billion, two hundred fifty-six million, six hundred fifty thousand, seven hundred fifty-two".