1002536141 has 12 divisors (see below), whose sum is σ = 1033716852. Its totient is φ = 971712000.

The previous prime is 1002536137. The next prime is 1002536153. The reversal of 1002536141 is 1416352001.

It can be written as a sum of positive squares in 6 ways, for example, as 135233641 + 867302500 = 11629^2 + 29450^2 .

It is not a de Polignac number, because 1002536141 - 2² = 1002536137 is a prime.

It is a super-2 number, since 2×1002536141² = 2010157428022343762, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002536131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2381111 + ... + 2381531.

It is an arithmetic number, because the mean of its divisors is an integer number (86143071).

Almost surely, 2^1002536141 is an apocalyptic number.

It is an amenable number.

1002536141 is a deficient number, since it is larger than the sum of its proper divisors (31180711).

1002536141 is an frugal number, since it uses more digits than its factorization.

1002536141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1002536141 is about 31662.8511192533. The cubic root of 1002536141 is about 1000.8446666707.

Adding to 1002536141 its reverse (1416352001), we get a palindrome (2418888142).

The spelling of 1002536141 in words is "one billion, two million, five hundred thirty-six thousand, one hundred forty-one".