1310857835329 has 9 divisors (see below), whose sum is σ = 1524884764131. Its totient is φ = 1123585560720.

The previous prime is 1310857835299. The next prime is 1310857835341. The reversal of 1310857835329 is 9235387580131.

The square root of 1310857835329 is 1144927.

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., 224176681729 + 1086681153600 = 473473^2 + 1042440^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1310857835329 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1310857835329.

It is not an unprimeable number, because it can be changed into a prime (1310857835129) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 7932709 + ... + 8096269.

It is an arithmetic number, because the mean of its divisors is an integer number (169431640459).

Almost surely, 2^{1310857835329} is an apocalyptic number.

1310857835329 is the 1144927-th square number.

1310857835329 is the 572464-th centered octagonal number.

It is an amenable number.

1310857835329 is a deficient number, since it is larger than the sum of its proper divisors (214026928802).

1310857835329 is an frugal number, since it uses more digits than its factorization.

1310857835329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327136 (or 163568 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 1310857835329 in words is "one trillion, three hundred ten billion, eight hundred fifty-seven million, eight hundred thirty-five thousand, three hundred twenty-nine".