1034131533525 has 72 divisors (see below), whose sum is σ = 1862707509000. Its totient is φ = 548427479040.

The previous prime is 1034131533517. The next prime is 1034131533553. The reversal of 1034131533525 is 5253351314301.

1034131533525 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 1 + 315 + 335 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 24811920324 + 1009319613201 = 157518^2 + 1004649^2 .

It is not a de Polignac number, because 1034131533525 - 2³ = 1034131533517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1034131533525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41671321 + ... + 41696129.

It is an arithmetic number, because the mean of its divisors is an integer number (25870937625).

Almost surely, 2^{1034131533525} is an apocalyptic number.

1034131533525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1034131533525 is a deficient number, since it is larger than the sum of its proper divisors (828575975475).

1034131533525 is a wasteful number, since it uses less digits than its factorization.

1034131533525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25863 (or 25855 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 1034131533525 its reverse (5253351314301), we get a palindrome (6287482847826).

The spelling of 1034131533525 in words is "one trillion, thirty-four billion, one hundred thirty-one million, five hundred thirty-three thousand, five hundred twenty-five".