1061017120 has 48 divisors (see below), whose sum is σ = 2531509848. Its totient is φ = 420198400.

The previous prime is 1061017099. The next prime is 1061017127. The reversal of 1061017120 is 217101601.

It can be written as a sum of positive squares in 4 ways, for example, as 1027330704 + 33686416 = 32052^2 + 5804^2 .

It is a super-2 number, since 2×1061017120² = 2251514657866188800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061017127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16669 + ... + 48988.

Almost surely, 2^1061017120 is an apocalyptic number.

1061017120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061017120 is an abundant number, since it is smaller than the sum of its proper divisors (1470492728).

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

1061017120 is a wasteful number, since it uses less digits than its factorization.

1061017120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65773 (or 65765 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 1061017120 is about 32573.2577431242. The cubic root of 1061017120 is about 1019.9388403673.

Adding to 1061017120 its reverse (217101601), we get a palindrome (1278118721).

It can be divided in two parts, 10610 and 17120, that added together give a triangular number (27730 = T₂₃₅).

The spelling of 1061017120 in words is "one billion, sixty-one million, seventeen thousand, one hundred twenty".