1251531535041 has 48 divisors (see below), whose sum is σ = 1984488854400. Its totient is φ = 757497624576.

The previous prime is 1251531534893. The next prime is 1251531535073. The reversal of 1251531535041 is 1405351351521.

1251531535041 is a `hidden beast` number, since 1 + 2 + 51 + 5 + 31 + 535 + 0 + 41 = 666.

It is not a de Polignac number, because 1251531535041 - 2⁹ = 1251531534529 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1251531534987 and 1251531535005.

It is not an unprimeable number, because it can be changed into a prime (1251531535141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1412640 + ... + 2120993.

It is an arithmetic number, because the mean of its divisors is an integer number (41343517800).

Almost surely, 2^{1251531535041} is an apocalyptic number.

It is an amenable number.

1251531535041 is a deficient number, since it is larger than the sum of its proper divisors (732957319359).

1251531535041 is a wasteful number, since it uses less digits than its factorization.

1251531535041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533750 (or 3533747 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

Adding to 1251531535041 its reverse (1405351351521), we get a palindrome (2656882886562).

The spelling of 1251531535041 in words is "one trillion, two hundred fifty-one billion, five hundred thirty-one million, five hundred thirty-five thousand, forty-one".