1061513216 has 96 divisors (see below), whose sum is σ = 2239309800. Its totient is φ = 502333440.

The previous prime is 1061513209. The next prime is 1061513231. The reversal of 1061513216 is 6123151601.

It can be written as a sum of positive squares in 4 ways, for example, as 895206400 + 166306816 = 29920^2 + 12896^2 .

It is a super-2 number, since 2×1061513216² = 2253620615485325312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3622766 + ... + 3623058.

Almost surely, 2^1061513216 is an apocalyptic number.

1061513216 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 1061513216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119654900).

1061513216 is an abundant number, since it is smaller than the sum of its proper divisors (1177796584).

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

1061513216 is an equidigital number, since it uses as much as digits as its factorization.

1061513216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 1061513216 is about 32580.8719343114. The cubic root of 1061513216 is about 1020.0977786567.

Adding to 1061513216 its reverse (6123151601), we get a palindrome (7184664817).

The spelling of 1061513216 in words is "one billion, sixty-one million, five hundred thirteen thousand, two hundred sixteen".