1053131461 has 2 divisors, whose sum is σ = 1053131462. Its totient is φ = 1053131460.

The previous prime is 1053131459. The next prime is 1053131479. The reversal of 1053131461 is 1641313501.

1053131461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1009650625 + 43480836 = 31775^2 + 6594^2 .

It is a cyclic number.

It is not a de Polignac number, because 1053131461 - 2¹ = 1053131459 is a prime.

It is a super-2 number, since 2×1053131461² = 2218171748295989042, which contains 22 as substring.

Together with 1053131459, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1053131441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 526565730 + 526565731.

It is an arithmetic number, because the mean of its divisors is an integer number (526565731).

Almost surely, 2^1053131461 is an apocalyptic number.

It is an amenable number.

1053131461 is a deficient number, since it is larger than the sum of its proper divisors (1).

1053131461 is an equidigital number, since it uses as much as digits as its factorization.

1053131461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1053131461 is about 32451.9870115837. The cubic root of 1053131461 is about 1017.4057684690.

Adding to 1053131461 its reverse (1641313501), we get a palindrome (2694444962).

The spelling of 1053131461 in words is "one billion, fifty-three million, one hundred thirty-one thousand, four hundred sixty-one".