1607121535601 has 16 divisors (see below), whose sum is σ = 1698060067200. Its totient is φ = 1516820457600.

The previous prime is 1607121535577. The next prime is 1607121535603. The reversal of 1607121535601 is 1065351217061.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1607121535601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1607121535603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30079931 + ... + 30133311.

It is an arithmetic number, because the mean of its divisors is an integer number (106128754200).

Almost surely, 2^{1607121535601} is an apocalyptic number.

It is an amenable number.

1607121535601 is a deficient number, since it is larger than the sum of its proper divisors (90938531599).

1607121535601 is a wasteful number, since it uses less digits than its factorization.

1607121535601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59320.

The product of its (nonzero) digits is 37800, while the sum is 38.

The spelling of 1607121535601 in words is "one trillion, six hundred seven billion, one hundred twenty-one million, five hundred thirty-five thousand, six hundred one".