1005252124131 has 24 divisors (see below), whose sum is σ = 1542536848944. Its totient is φ = 653822513280.

The previous prime is 1005252124117. The next prime is 1005252124153. The reversal of 1005252124131 is 1314212525001.

It is a happy number.

1005252124131 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 2 + 521 + 2 + 4 + 131 = 666.

It is not a de Polignac number, because 1005252124131 - 2⁶ = 1005252124067 is a prime.

It is a super-2 number, since 2×1005252124131² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1005252124095 and 1005252124104.

It is not an unprimeable number, because it can be changed into a prime (1005252124031) 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, 50439306 + ... + 50459231.

It is an arithmetic number, because the mean of its divisors is an integer number (64272368706).

Almost surely, 2^{1005252124131} is an apocalyptic number.

1005252124131 is a deficient number, since it is larger than the sum of its proper divisors (537284724813).

1005252124131 is an equidigital number, since it uses as much as digits as its factorization.

1005252124131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100898593 (or 100898581 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 1005252124131 its reverse (1314212525001), we get a palindrome (2319464649132).

The spelling of 1005252124131 in words is "one trillion, five billion, two hundred fifty-two million, one hundred twenty-four thousand, one hundred thirty-one".