1057151616 has 128 divisors (see below), whose sum is σ = 2955960000. Its totient is φ = 334258176.

The previous prime is 1057151593. The next prime is 1057151633. The reversal of 1057151616 is 6161517501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1057151616³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 656220 + ... + 657828.

Almost surely, 2^1057151616 is an apocalyptic number.

1057151616 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 1057151616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477980000).

1057151616 is an abundant number, since it is smaller than the sum of its proper divisors (1898808384).

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

1057151616 is a wasteful number, since it uses less digits than its factorization.

1057151616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 33.

The square root of 1057151616 is about 32513.8680565693. The cubic root of 1057151616 is about 1018.6987173503.

The spelling of 1057151616 in words is "one billion, fifty-seven million, one hundred fifty-one thousand, six hundred sixteen".