1056510016 has 63 divisors (see below), whose sum is σ = 2236448029. Its totient is φ = 495100928.

The previous prime is 1056510001. The next prime is 1056510023. The reversal of 1056510016 is 6100156501.

The square root of 1056510016 is 32504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 822542400 + 233967616 = 28680^2 + 15296^2 .

It is a super-2 number, since 2×1056510016² = 2232426827816640512, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 4420425 + ... + 4420663.

Almost surely, 2^1056510016 is an apocalyptic number.

1056510016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1056510016 is the 32504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056510016

1056510016 is an abundant number, since it is smaller than the sum of its proper divisors (1179938013).

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

1056510016 is an frugal number, since it uses more digits than its factorization.

1056510016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The cubic root of 1056510016 is about 1018.4925881765.

Multiplying 1056510016 by its sum of digits (25), we get a square (26412750400 = 162520²).

Multiplying 1056510016 by its product of nonzero digits (900), we get a square (950859014400 = 975120²).

Adding to 1056510016 its reverse (6100156501), we get a palindrome (7156666517).

The spelling of 1056510016 in words is "one billion, fifty-six million, five hundred ten thousand, sixteen".