1011582507325 has 48 divisors (see below), whose sum is σ = 1402206034320. Its totient is φ = 718792058880.

The previous prime is 1011582507319. The next prime is 1011582507361. The reversal of 1011582507325 is 5237052851101.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 256883744569 + 754698762756 = 506837^2 + 868734^2 .

It is not a de Polignac number, because 1011582507325 - 2³ = 1011582507317 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 47 ways as a sum of consecutive naturals, for example, 2578369 + ... + 2944681.

It is an arithmetic number, because the mean of its divisors is an integer number (29212625715).

Almost surely, 2^{1011582507325} is an apocalyptic number.

It is an amenable number.

1011582507325 is a deficient number, since it is larger than the sum of its proper divisors (390623526995).

1011582507325 is a wasteful number, since it uses less digits than its factorization.

1011582507325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366658 (or 366653 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 40.

The spelling of 1011582507325 in words is "one trillion, eleven billion, five hundred eighty-two million, five hundred seven thousand, three hundred twenty-five".