1013499252529 has 9 divisors (see below), whose sum is σ = 1016600351403. Its totient is φ = 1010407593912.

The previous prime is 1013499252473. The next prime is 1013499252541. The reversal of 1013499252529 is 9252529943101.

The square root of 1013499252529 is 1006727.

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

It can be written as a sum of positive squares in only one way, i.e., 550897950625 + 462601301904 = 742225^2 + 680148^2 .

It is not a de Polignac number, because 1013499252529 - 2²⁵ = 1013465698097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1013499222529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 375507822 + ... + 375510520.

Almost surely, 2^{1013499252529} is an apocalyptic number.

1013499252529 is the 1006727-th square number.

1013499252529 is the 503364-th centered octagonal number.

It is an amenable number.

1013499252529 is a deficient number, since it is larger than the sum of its proper divisors (3101098874).

1013499252529 is an frugal number, since it uses more digits than its factorization.

1013499252529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 52.

The spelling of 1013499252529 in words is "one trillion, thirteen billion, four hundred ninety-nine million, two hundred fifty-two thousand, five hundred twenty-nine".