1291052016 has 120 divisors (see below), whose sum is σ = 3710856240. Its totient is φ = 418848768.

The previous prime is 1291051997. The next prime is 1291052023. The reversal of 1291052016 is 6102501921.

1291052016 is a `hidden beast` number, since 129 + 1 + 0 + 520 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1060240 + ... + 1061456.

It is an arithmetic number, because the mean of its divisors is an integer number (30923802).

Almost surely, 2^1291052016 is an apocalyptic number.

1291052016 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 1291052016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855428120).

1291052016 is an abundant number, since it is smaller than the sum of its proper divisors (2419804224).

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

1291052016 is a wasteful number, since it uses less digits than its factorization.

1291052016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1291052016 is about 35931.2122812465. The cubic root of 1291052016 is about 1088.8830732501.

Adding to 1291052016 its reverse (6102501921), we get a palindrome (7393553937).

The spelling of 1291052016 in words is "one billion, two hundred ninety-one million, fifty-two thousand, sixteen".