1027532121 has 24 divisors (see below), whose sum is σ = 1721049792. Its totient is φ = 533781600.

The previous prime is 1027532111. The next prime is 1027532197. The reversal of 1027532121 is 1212357201.

It is not a de Polignac number, because 1027532121 - 2¹⁰ = 1027531097 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1027532091 and 1027532100.

It is not an unprimeable number, because it can be changed into a prime (1027532101) 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 23 ways as a sum of consecutive naturals, for example, 199650 + ... + 204731.

It is an arithmetic number, because the mean of its divisors is an integer number (71710408).

Almost surely, 2^1027532121 is an apocalyptic number.

1027532121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1027532121 is a deficient number, since it is larger than the sum of its proper divisors (693517671).

1027532121 is a wasteful number, since it uses less digits than its factorization.

1027532121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404413 (or 404402 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1027532121 is about 32055.1418808278. The cubic root of 1027532121 is about 1009.0944145623.

Adding to 1027532121 its reverse (1212357201), we get a palindrome (2239889322).

The spelling of 1027532121 in words is "one billion, twenty-seven million, five hundred thirty-two thousand, one hundred twenty-one".