1053052013 has 12 divisors (see below), whose sum is σ = 1141201908. Its totient is φ = 971268480.

The previous prime is 1053052003. The next prime is 1053052019. The reversal of 1053052013 is 3102503501.

It can be written as a sum of positive squares in 6 ways, for example, as 202863049 + 850188964 = 14243^2 + 29158^2 .

It is not a de Polignac number, because 1053052013 - 2²² = 1048857709 is a prime.

It is a super-2 number, since 2×1053052013² = 2217837084166704338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053052019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 401081 + ... + 403697.

It is an arithmetic number, because the mean of its divisors is an integer number (95100159).

Almost surely, 2^1053052013 is an apocalyptic number.

1053052013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1053052013 is a deficient number, since it is larger than the sum of its proper divisors (88149895).

1053052013 is a wasteful number, since it uses less digits than its factorization.

1053052013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 1053052013 is about 32450.7629032046. The cubic root of 1053052013 is about 1017.3801835383.

Adding to 1053052013 its reverse (3102503501), we get a palindrome (4155555514).

The spelling of 1053052013 in words is "one billion, fifty-three million, fifty-two thousand, thirteen".