1031540010125 has 32 divisors (see below), whose sum is σ = 1373039048160. Its totient is φ = 771019468800.

The previous prime is 1031540010097. The next prime is 1031540010143. The reversal of 1031540010125 is 5210100451301.

It can be written as a sum of positive squares in 16 ways, for example, as 274260642601 + 757279367524 = 523699^2 + 870218^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1031540010125 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1031540010125.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1480520 + ... + 2062769.

It is an arithmetic number, because the mean of its divisors is an integer number (42907470255).

Almost surely, 2^{1031540010125} is an apocalyptic number.

It is an amenable number.

1031540010125 is a deficient number, since it is larger than the sum of its proper divisors (341499038035).

1031540010125 is a wasteful number, since it uses less digits than its factorization.

1031540010125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543458 (or 3543448 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 1031540010125 its reverse (5210100451301), we get a palindrome (6241640461426).

The spelling of 1031540010125 in words is "one trillion, thirty-one billion, five hundred forty million, ten thousand, one hundred twenty-five".