1057009772 has 72 divisors (see below), whose sum is σ = 2339550864. Its totient is φ = 414142848.

The previous prime is 1057009763. The next prime is 1057009783. The reversal of 1057009772 is 2779007501.

It is a super-2 number, since 2×1057009772² = 2234539316206983968, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 270698 + ... + 274574.

It is an arithmetic number, because the mean of its divisors is an integer number (32493762).

Almost surely, 2^1057009772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057009772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169775432).

1057009772 is an abundant number, since it is smaller than the sum of its proper divisors (1282541092).

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

1057009772 is a wasteful number, since it uses less digits than its factorization.

1057009772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4015 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 38.

The square root of 1057009772 is about 32511.6866987857. The cubic root of 1057009772 is about 1018.6531537932.

The spelling of 1057009772 in words is "one billion, fifty-seven million, nine thousand, seven hundred seventy-two".