1013544527436 has 288 divisors, whose sum is σ = 3082144665600. Its totient is φ = 274736033280.

The previous prime is 1013544527393. The next prime is 1013544527453. The reversal of 1013544527436 is 6347254453101.

1013544527436 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 544 + 5 + 2 + 74 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1013544527391 and 1013544527400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179290386 + ... + 179296038.

It is an arithmetic number, because the mean of its divisors is an integer number (10701891200).

Almost surely, 2^{1013544527436} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013544527436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541072332800).

1013544527436 is an abundant number, since it is smaller than the sum of its proper divisors (2068600138164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013544527436 is a wasteful number, since it uses less digits than its factorization.

1013544527436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6149 (or 6144 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 1013544527436 in words is "one trillion, thirteen billion, five hundred forty-four million, five hundred twenty-seven thousand, four hundred thirty-six".