1145506125431 has 16 divisors (see below), whose sum is σ = 1183685529600. Its totient is φ = 1107845304000.

The previous prime is 1145506125389. The next prime is 1145506125433. The reversal of 1145506125431 is 1345216055411.

It is a cyclic number.

It is not a de Polignac number, because 1145506125431 - 2¹⁸ = 1145505863287 is a prime.

It is a super-2 number, since 2×1145506125431² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145506125433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2772350 + ... + 3158628.

It is an arithmetic number, because the mean of its divisors is an integer number (73980345600).

Almost surely, 2^{1145506125431} is an apocalyptic number.

1145506125431 is a deficient number, since it is larger than the sum of its proper divisors (38179404169).

1145506125431 is a wasteful number, since it uses less digits than its factorization.

1145506125431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386950.

The product of its (nonzero) digits is 72000, while the sum is 38.

The spelling of 1145506125431 in words is "one trillion, one hundred forty-five billion, five hundred six million, one hundred twenty-five thousand, four hundred thirty-one".