1025405120401 has 16 divisors (see below), whose sum is σ = 1052836456320. Its totient is φ = 998141356800.

The previous prime is 1025405120381. The next prime is 1025405120407. The reversal of 1025405120401 is 1040215045201.

It is a cyclic number.

It is not a de Polignac number, because 1025405120401 - 2¹⁵ = 1025405087633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1025405120407) 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, 19095676 + ... + 19149298.

It is an arithmetic number, because the mean of its divisors is an integer number (65802278520).

Almost surely, 2^{1025405120401} is an apocalyptic number.

It is an amenable number.

1025405120401 is a deficient number, since it is larger than the sum of its proper divisors (27431335919).

1025405120401 is a wasteful number, since it uses less digits than its factorization.

1025405120401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55176.

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 1025405120401 in words is "one trillion, twenty-five billion, four hundred five million, one hundred twenty thousand, four hundred one".