1002135701 has 12 divisors (see below), whose sum is σ = 1169109900. Its totient is φ = 856497600.

The previous prime is 1002135697. The next prime is 1002135731. The reversal of 1002135701 is 1075312001.

It can be written as a sum of positive squares in 2 ways, for example, as 584914225 + 417221476 = 24185^2 + 20426^2 .

It is not a de Polignac number, because 1002135701 - 2² = 1002135697 is a prime.

It is a super-2 number, since 2×1002135701² = 2008551926437522802, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002135731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12200 + ... + 46401.

It is an arithmetic number, because the mean of its divisors is an integer number (97425825).

Almost surely, 2^1002135701 is an apocalyptic number.

It is an amenable number.

1002135701 is a deficient number, since it is larger than the sum of its proper divisors (166974199).

1002135701 is an equidigital number, since it uses as much as digits as its factorization.

1002135701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58964 (or 58957 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 1002135701 is about 31656.5269889165. The cubic root of 1002135701 is about 1000.7113941317.

Adding to 1002135701 its reverse (1075312001), we get a palindrome (2077447702).

The spelling of 1002135701 in words is "one billion, two million, one hundred thirty-five thousand, seven hundred one".