1610047542401 has 16 divisors (see below), whose sum is σ = 1647658067328. Its totient is φ = 1572718118400.

The previous prime is 1610047542361. The next prime is 1610047542409. The reversal of 1610047542401 is 1042457400161.

It is a cyclic number.

It is not a de Polignac number, because 1610047542401 - 2³⁴ = 1592867673217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1610047542409) 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 15 ways as a sum of consecutive naturals, for example, 12690641 + ... + 12816881.

It is an arithmetic number, because the mean of its divisors is an integer number (102978629208).

Almost surely, 2^{1610047542401} is an apocalyptic number.

It is an amenable number.

1610047542401 is a deficient number, since it is larger than the sum of its proper divisors (37610524927).

1610047542401 is a wasteful number, since it uses less digits than its factorization.

1610047542401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127352.

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 1610047542401 in words is "one trillion, six hundred ten billion, forty-seven million, five hundred forty-two thousand, four hundred one".