1024580053 has 12 divisors (see below), whose sum is σ = 1202799180. Its totient is φ = 870149952.

The previous prime is 1024580027. The next prime is 1024580059. The reversal of 1024580053 is 3500854201.

It can be written as a sum of positive squares in 2 ways, for example, as 784392049 + 240188004 = 28007^2 + 15498^2 .

It is not a de Polignac number, because 1024580053 - 2¹⁷ = 1024448981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024580059) 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 11 ways as a sum of consecutive naturals, for example, 90576 + ... + 101257.

It is an arithmetic number, because the mean of its divisors is an integer number (100233265).

Almost surely, 2^1024580053 is an apocalyptic number.

It is an amenable number.

1024580053 is a deficient number, since it is larger than the sum of its proper divisors (178219127).

1024580053 is a wasteful number, since it uses less digits than its factorization.

1024580053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191956 (or 191949 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 1024580053 is about 32009.0620449897. The cubic root of 1024580053 is about 1008.1271219563.

The spelling of 1024580053 in words is "one billion, twenty-four million, five hundred eighty thousand, fifty-three".