1053272129 has 24 divisors (see below), whose sum is σ = 1310242752. Its totient is φ = 824510880.

The previous prime is 1053272119. The next prime is 1053272147. The reversal of 1053272129 is 9212723501.

1053272129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-1053272129 is a prime.

It is a super-2 number, since 2×1053272129² = 2218764355456385282, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1053272095 and 1053272104.

It is not an unprimeable number, because it can be changed into a prime (1053272119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 964874 + ... + 965964.

It is an arithmetic number, because the mean of its divisors is an integer number (54593448).

Almost surely, 2^1053272129 is an apocalyptic number.

It is an amenable number.

1053272129 is a deficient number, since it is larger than the sum of its proper divisors (256970623).

1053272129 is a wasteful number, since it uses less digits than its factorization.

1053272129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 1053272129 is about 32454.1542641308. The cubic root of 1053272129 is about 1017.4510651447.

The spelling of 1053272129 in words is "one billion, fifty-three million, two hundred seventy-two thousand, one hundred twenty-nine".