1013727651552 has 1440 divisors, whose sum is σ = 3956452625664. Its totient is φ = 247164825600.

The previous prime is 1013727651487. The next prime is 1013727651631. The reversal of 1013727651552 is 2551567273101.

1013727651552 is a `hidden beast` number, since 1 + 0 + 1 + 37 + 2 + 7 + 65 + 1 + 552 = 666.

It is a super-2 number, since 2×1013727651552² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013727651498 and 1013727651507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15130263423 + ... + 15130263489.

Almost surely, 2^{1013727651552} is an apocalyptic number.

1013727651552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013727651552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978226312832).

1013727651552 is an abundant number, since it is smaller than the sum of its proper divisors (2942724974112).

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

1013727651552 is a wasteful number, since it uses less digits than its factorization.

1013727651552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 1013727651552 in words is "one trillion, thirteen billion, seven hundred twenty-seven million, six hundred fifty-one thousand, five hundred fifty-two".