10405537325 has 12 divisors (see below), whose sum is σ = 12910522260. Its totient is φ = 8319490560.

The previous prime is 10405537297. The next prime is 10405537339. The reversal of 10405537325 is 52373550401.

It can be written as a sum of positive squares in 6 ways, for example, as 1315440361 + 9090096964 = 36269^2 + 95342^2 .

It is not a de Polignac number, because 10405537325 - 2¹⁶ = 10405471789 is a prime.

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 11 ways as a sum of consecutive naturals, for example, 80210 + ... + 165059.

It is an arithmetic number, because the mean of its divisors is an integer number (1075876855).

Almost surely, 2^10405537325 is an apocalyptic number.

It is an amenable number.

10405537325 is a deficient number, since it is larger than the sum of its proper divisors (2504984935).

10405537325 is a wasteful number, since it uses less digits than its factorization.

10405537325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246976 (or 246971 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 35.

The spelling of 10405537325 in words is "ten billion, four hundred five million, five hundred thirty-seven thousand, three hundred twenty-five".