1048011129 has 63 divisors (see below), whose sum is σ = 1743119679. Its totient is φ = 629331120.

The previous prime is 1048011073. The next prime is 1048011143. The reversal of 1048011129 is 9211108401.

The square root of 1048011129 is 32373.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 730458729 + 317552400 = 27027^2 + 17820^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1048011129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1048011929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 9614727 + ... + 9614835.

Almost surely, 2^1048011129 is an apocalyptic number.

1048011129 is the 32373-rd square number.

1048011129 is the 16187-th centered octagonal number.

It is an amenable number.

1048011129 is a deficient number, since it is larger than the sum of its proper divisors (695108550).

1048011129 is an frugal number, since it uses more digits than its factorization.

1048011129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The cubic root of 1048011129 is about 1015.7542111255.

Multiplying 1048011129 by its product of nonzero digits (576), we get a square (603654410304 = 776952²).

It can be divided in two parts, 10480 and 11129, that added together give a square (21609 = 147²).

The spelling of 1048011129 in words is "one billion, forty-eight million, eleven thousand, one hundred twenty-nine".