13435740057601 has 32 divisors (see below), whose sum is σ = 13893958729728. Its totient is φ = 12985115136000.

The previous prime is 13435740057541. The next prime is 13435740057637. The reversal of 13435740057601 is 10675004753431.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13435740057601 - 2¹⁹ = 13435739533313 is a prime.

It is a super-2 number, since 2×13435740057601² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13435740007601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1062359460 + ... + 1062372106.

It is an arithmetic number, because the mean of its divisors is an integer number (434186210304).

Almost surely, 2^{13435740057601} is an apocalyptic number.

It is an amenable number.

13435740057601 is a deficient number, since it is larger than the sum of its proper divisors (458218672127).

13435740057601 is a wasteful number, since it uses less digits than its factorization.

13435740057601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13581.

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 13435740057601 in words is "thirteen trillion, four hundred thirty-five billion, seven hundred forty million, fifty-seven thousand, six hundred one".