1053131331 has 16 divisors (see below), whose sum is σ = 1605636864. Its totient is φ = 601464864.

The previous prime is 1053131323. The next prime is 1053131347. The reversal of 1053131331 is 1331313501.

It is not a de Polignac number, because 1053131331 - 2³ = 1053131323 is a prime.

It is a super-2 number, since 2×1053131331² = 2218171200667663122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1053131298 and 1053131307.

It is not an unprimeable number, because it can be changed into a prime (1053131311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29545 + ... + 54581.

It is an arithmetic number, because the mean of its divisors is an integer number (100352304).

Almost surely, 2^1053131331 is an apocalyptic number.

1053131331 is a deficient number, since it is larger than the sum of its proper divisors (552505533).

1053131331 is a wasteful number, since it uses less digits than its factorization.

1053131331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27050.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 1053131331 is about 32451.9850086247. The cubic root of 1053131331 is about 1017.4057266056.

Adding to 1053131331 its reverse (1331313501), we get a palindrome (2384444832).

The spelling of 1053131331 in words is "one billion, fifty-three million, one hundred thirty-one thousand, three hundred thirty-one".