1253125405434 has 64 divisors (see below), whose sum is σ = 2925968256000. Its totient is φ = 357640550064.

The previous prime is 1253125405423. The next prime is 1253125405501. The reversal of 1253125405434 is 4345045213521.

It is a junction number, because it is equal to n+sod(n) for n = 1253125405392 and 1253125405401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1530937 + ... + 2202275.

It is an arithmetic number, because the mean of its divisors is an integer number (45718254000).

Almost surely, 2^{1253125405434} is an apocalyptic number.

1253125405434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253125405434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462984128000).

1253125405434 is an abundant number, since it is smaller than the sum of its proper divisors (1672842850566).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1253125405434 is an equidigital number, since it uses as much as digits as its factorization.

1253125405434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672272 (or 672258 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 1253125405434 in words is "one trillion, two hundred fifty-three billion, one hundred twenty-five million, four hundred five thousand, four hundred thirty-four".