1057022509456 has 45 divisors (see below), whose sum is σ = 2099485081603. Its totient is φ = 515538487040.

The previous prime is 1057022509429. The next prime is 1057022509463. The reversal of 1057022509456 is 6549052207501.

The square root of 1057022509456 is 1028116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 492360435856 + 564662073600 = 701684^2 + 751440^2 .

It is a super-2 number, since 2×1057022509456² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 168607890 + ... + 168614158.

Almost surely, 2^{1057022509456} is an apocalyptic number.

1057022509456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1057022509456 is the 1028116-th square number.

It is an amenable number.

1057022509456 is a deficient number, since it is larger than the sum of its proper divisors (1042462572147).

1057022509456 is an frugal number, since it uses more digits than its factorization.

1057022509456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12628 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 46.

The spelling of 1057022509456 in words is "one trillion, fifty-seven billion, twenty-two million, five hundred nine thousand, four hundred fifty-six".