2002507827381 has 6 divisors (see below), whose sum is σ = 2892511306230. Its totient is φ = 1335005218248.

The previous prime is 2002507827323. The next prime is 2002507827427. The reversal of 2002507827381 is 1837287052002.

It can be written as a sum of positive squares in only one way, i.e., 1436244052356 + 566263775025 = 1198434^2 + 752505^2 .

It is not a de Polignac number, because 2002507827381 - 2¹³ = 2002507819189 is a prime.

It is a super-2 number, since 2×2002507827381² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002507827301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111250434846 + ... + 111250434863.

It is an arithmetic number, because the mean of its divisors is an integer number (482085217705).

Almost surely, 2^{2002507827381} is an apocalyptic number.

It is an amenable number.

2002507827381 is a deficient number, since it is larger than the sum of its proper divisors (890003478849).

2002507827381 is a wasteful number, since it uses less digits than its factorization.

2002507827381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222500869715 (or 222500869712 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 2002507827381 in words is "two trillion, two billion, five hundred seven million, eight hundred twenty-seven thousand, three hundred eighty-one".