1057615441 has 9 divisors (see below), whose sum is σ = 1124075281. Its totient is φ = 994882432.

The previous prime is 1057615409. The next prime is 1057615453. The reversal of 1057615441 is 1445167501.

The square root of 1057615441 is 32521.

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 452455441 + 605160000 = 21271^2 + 24600^2 .

It is not a de Polignac number, because 1057615441 - 2⁵ = 1057615409 is a prime.

It is a super-3 number, since 3×1057615441³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1057615397 and 1057615406.

It is not an unprimeable number, because it can be changed into a prime (1057615241) 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 8 ways as a sum of consecutive naturals, for example, 551901 + ... + 553813.

Almost surely, 2^1057615441 is an apocalyptic number.

1057615441 is the 32521-st square number.

1057615441 is the 16261-st centered octagonal number.

It is an amenable number.

1057615441 is a deficient number, since it is larger than the sum of its proper divisors (66459840).

1057615441 is an frugal number, since it uses more digits than its factorization.

1057615441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The cubic root of 1057615441 is about 1018.8476801668.

The spelling of 1057615441 in words is "one billion, fifty-seven million, six hundred fifteen thousand, four hundred forty-one".