1056564450 has 72 divisors (see below), whose sum is σ = 3005636868. Its totient is φ = 265175040.

The previous prime is 1056564403. The next prime is 1056564461. The reversal of 1056564450 is 544656501.

1056564450 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 5 + 644 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 457147161 + 599417289 = 21381^2 + 24483^2 .

It is a super-2 number, since 2×1056564450² = 2232656874007605000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61407 + ... + 76706.

Almost surely, 2^1056564450 is an apocalyptic number.

1056564450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1056564450 is an abundant number, since it is smaller than the sum of its proper divisors (1949072418).

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

1056564450 is a wasteful number, since it uses less digits than its factorization.

1056564450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138148 (or 138140 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 1056564450 is about 32504.8373323110. The cubic root of 1056564450 is about 1018.5100796256.

The spelling of 1056564450 in words is "one billion, fifty-six million, five hundred sixty-four thousand, four hundred fifty".