1251534412131 has 16 divisors (see below), whose sum is σ = 1747052616960. Its totient is φ = 795879516320.

The previous prime is 1251534412081. The next prime is 1251534412153. The reversal of 1251534412131 is 1312144351521.

It is a cyclic number.

It is not a de Polignac number, because 1251534412131 - 2¹⁰ = 1251534411107 is a prime.

It is a super-3 number, since 3×1251534412131³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1251534412092 and 1251534412101.

It is not an unprimeable number, because it can be changed into a prime (1251534412031) 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 15 ways as a sum of consecutive naturals, for example, 86652135 + ... + 86666576.

It is an arithmetic number, because the mean of its divisors is an integer number (109190788560).

Almost surely, 2^{1251534412131} is an apocalyptic number.

1251534412131 is a deficient number, since it is larger than the sum of its proper divisors (495518204829).

1251534412131 is a wasteful number, since it uses less digits than its factorization.

1251534412131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173318826.

The product of its digits is 14400, while the sum is 33.

Adding to 1251534412131 its reverse (1312144351521), we get a palindrome (2563678763652).

The spelling of 1251534412131 in words is "one trillion, two hundred fifty-one billion, five hundred thirty-four million, four hundred twelve thousand, one hundred thirty-one".