1005150629881 has 2 divisors, whose sum is σ = 1005150629882. Its totient is φ = 1005150629880.

The previous prime is 1005150629839. The next prime is 1005150629891. The reversal of 1005150629881 is 1889260515001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 852453344656 + 152697285225 = 923284^2 + 390765^2 .

It is an emirp because it is prime and its reverse (1889260515001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005150629881 - 2²⁵ = 1005117075449 is a prime.

It is a super-2 number, since 2×1005150629881² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005150629891) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502575314940 + 502575314941.

It is an arithmetic number, because the mean of its divisors is an integer number (502575314941).

Almost surely, 2^{1005150629881} is an apocalyptic number.

It is an amenable number.

1005150629881 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005150629881 is an equidigital number, since it uses as much as digits as its factorization.

1005150629881 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 172800, while the sum is 46.

The spelling of 1005150629881 in words is "one trillion, five billion, one hundred fifty million, six hundred twenty-nine thousand, eight hundred eighty-one".