1951520256 has 480 divisors, whose sum is σ = 6978660480. Its totient is φ = 536481792.

The previous prime is 1951520251. The next prime is 1951520281. The reversal of 1951520256 is 6520251591.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1951520256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1951520251) 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, 29127135 + ... + 29127201.

It is an arithmetic number, because the mean of its divisors is an integer number (14538876).

Almost surely, 2^1951520256 is an apocalyptic number.

1951520256 is a gapful number since it is divisible by the number (16) 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 1951520256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489330240).

1951520256 is an abundant number, since it is smaller than the sum of its proper divisors (5027140224).

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

1951520256 is an equidigital number, since it uses as much as digits as its factorization.

1951520256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 1951520256 is about 44176.0144875022. The cubic root of 1951520256 is about 1249.6575608102.

The spelling of 1951520256 in words is "one billion, nine hundred fifty-one million, five hundred twenty thousand, two hundred fifty-six".