1357688709601 has 9 divisors (see below), whose sum is σ = 1579361660499. Its totient is φ = 1163726188464.

The previous prime is 1357688709599. The next prime is 1357688709673. The reversal of 1357688709601 is 1069078867531.

The square root of 1357688709601 is 1165199.

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., 214123680225 + 1143565029376 = 462735^2 + 1069376^2 .

It is not a de Polignac number, because 1357688709601 - 2¹ = 1357688709599 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1357688709601.

It is not an unprimeable number, because it can be changed into a prime (1357688709701) 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, 8073165 + ... + 8239621.

Almost surely, 2^{1357688709601} is an apocalyptic number.

1357688709601 is the 1165199-th square number.

1357688709601 is the 582600-th centered octagonal number.

It is an amenable number.

1357688709601 is a deficient number, since it is larger than the sum of its proper divisors (221672950898).

1357688709601 is an frugal number, since it uses more digits than its factorization.

1357688709601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332928 (or 166464 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 61.

The spelling of 1357688709601 in words is "one trillion, three hundred fifty-seven billion, six hundred eighty-eight million, seven hundred nine thousand, six hundred one".