1025343135504 has 120 divisors (see below), whose sum is σ = 2878536487320. Its totient is φ = 340710137856.

The previous prime is 1025343135493. The next prime is 1025343135617. The reversal of 1025343135504 is 4055313435201.

1025343135504 is a `hidden beast` number, since 1 + 0 + 2 + 53 + 43 + 13 + 550 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 348869785104 + 676473350400 = 590652^2 + 822480^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 127320342 + ... + 127328394.

It is an arithmetic number, because the mean of its divisors is an integer number (23987804061).

Almost surely, 2^{1025343135504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025343135504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439268243660).

1025343135504 is an abundant number, since it is smaller than the sum of its proper divisors (1853193351816).

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

1025343135504 is a wasteful number, since it uses less digits than its factorization.

1025343135504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10729 (or 10720 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 1025343135504 in words is "one trillion, twenty-five billion, three hundred forty-three million, one hundred thirty-five thousand, five hundred four".