1025346435201 has 72 divisors (see below), whose sum is σ = 1667454516000. Its totient is φ = 606489333120.

The previous prime is 1025346435187. The next prime is 1025346435257.

1025346435201 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 3 + 4 + 643 + 5 + 2 + 0 + 1 = 666.

1025346435201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1025346435201 - 2⁶ = 1025346435137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1025346435301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8873485 + ... + 8988293.

It is an arithmetic number, because the mean of its divisors is an integer number (23159090500).

Almost surely, 2^{1025346435201} is an apocalyptic number.

1025346435201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1025346435201 is a deficient number, since it is larger than the sum of its proper divisors (642108080799).

1025346435201 is a wasteful number, since it uses less digits than its factorization.

1025346435201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115035 (or 115021 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 1025346435201 in words is "one trillion, twenty-five billion, three hundred forty-six million, four hundred thirty-five thousand, two hundred one".