1002132045 has 24 divisors (see below), whose sum is σ = 1779398712. Its totient is φ = 521433600.

The previous prime is 1002132023. The next prime is 1002132049. The reversal of 1002132045 is 5402312001.

It can be written as a sum of positive squares in 4 ways, for example, as 19873764 + 982258281 = 4458^2 + 31341^2 .

It is not a de Polignac number, because 1002132045 - 2²⁶ = 935023181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002132049) 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, 269736 + ... + 273425.

It is an arithmetic number, because the mean of its divisors is an integer number (74141613).

Almost surely, 2^1002132045 is an apocalyptic number.

1002132045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1002132045 is a deficient number, since it is larger than the sum of its proper divisors (777266667).

1002132045 is a wasteful number, since it uses less digits than its factorization.

1002132045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543213 (or 543210 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1002132045 is about 31656.4692440582. The cubic root of 1002132045 is about 1000.7101771956.

Adding to 1002132045 its reverse (5402312001), we get a palindrome (6404444046).

The spelling of 1002132045 in words is "one billion, two million, one hundred thirty-two thousand, forty-five".