1053456849 has 27 divisors (see below), whose sum is σ = 1576847259. Its totient is φ = 677702160.

The previous prime is 1053456839. The next prime is 1053456853. The reversal of 1053456849 is 9486543501.

The square root of 1053456849 is 32457.

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

1053456849 is a `hidden beast` number, since 10 + 5 + 34 + 568 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 773229249 + 280227600 = 27807^2 + 16740^2 .

It is not a de Polignac number, because 1053456849 - 2¹⁹ = 1052932561 is a prime.

It is a super-2 number, since 2×1053456849² = 2219542665410017602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053456839) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3018327 + ... + 3018675.

Almost surely, 2^1053456849 is an apocalyptic number.

1053456849 is the 32457-th square number.

1053456849 is the 16229-th centered octagonal number.

It is an amenable number.

1053456849 is a deficient number, since it is larger than the sum of its proper divisors (523390410).

1053456849 is an frugal number, since it uses more digits than its factorization.

1053456849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The cubic root of 1053456849 is about 1017.5105409344.

Multiplying 1053456849 by its product of nonzero digits (518400), we get a square (546112030521600 = 23369040²).

The spelling of 1053456849 in words is "one billion, fifty-three million, four hundred fifty-six thousand, eight hundred forty-nine".