1013054328036 has 297 divisors, whose sum is σ = 2832564274281. Its totient is φ = 316976921568.

The previous prime is 1013054328031. The next prime is 1013054328047. The reversal of 1013054328036 is 6308234503101.

The square root of 1013054328036 is 1006506.

It is a perfect power (a square), and thus also a powerful number.

1013054328036 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 0 + 543 + 2 + 80 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 706094006436 + 306960321600 = 840294^2 + 554040^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1013054328031) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 9294076350 + ... + 9294076458.

Almost surely, 2^{1013054328036} is an apocalyptic number.

1013054328036 is the 1006506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013054328036

1013054328036 is an abundant number, since it is smaller than the sum of its proper divisors (1819509946245).

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

1013054328036 is an frugal number, since it uses more digits than its factorization.

1013054328036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 1013054328036 by its sum of digits (36), we get a square (36469955809296 = 6039036²).

1013054328036 divided by its sum of digits (36) gives a square (28140398001 = 167751²).

The spelling of 1013054328036 in words is "one trillion, thirteen billion, fifty-four million, three hundred twenty-eight thousand, thirty-six".