1295509254564 has 96 divisors (see below), whose sum is σ = 3585461806080. Its totient is φ = 356217547392.

The previous prime is 1295509254553. The next prime is 1295509254581. The reversal of 1295509254564 is 4654529055921.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118302 + ... + 1614005.

It is an arithmetic number, because the mean of its divisors is an integer number (37348560480).

Almost surely, 2^{1295509254564} is an apocalyptic number.

1295509254564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1295509254564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792730903040).

1295509254564 is an abundant number, since it is smaller than the sum of its proper divisors (2289952551516).

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

1295509254564 is a wasteful number, since it uses less digits than its factorization.

1295509254564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732657 (or 1732655 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 57.

The spelling of 1295509254564 in words is "one trillion, two hundred ninety-five billion, five hundred nine million, two hundred fifty-four thousand, five hundred sixty-four".