1005252365520 has 120 divisors (see below), whose sum is σ = 3635662755816. Its totient is φ = 247446733824.

The previous prime is 1005252365399. The next prime is 1005252365531. The reversal of 1005252365520 is 255632525001.

1005252365520 is a `hidden beast` number, since 1 + 0 + 0 + 52 + 5 + 23 + 65 + 520 = 666.

1005252365520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51161011344 + 954091354176 = 226188^2 + 976776^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53690019 + ... + 53708738.

Almost surely, 2^{1005252365520} is an apocalyptic number.

1005252365520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005252365520 is an abundant number, since it is smaller than the sum of its proper divisors (2630410390296).

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

1005252365520 is a wasteful number, since it uses less digits than its factorization.

1005252365520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107398789 (or 107398780 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 1005252365520 in words is "one trillion, five billion, two hundred fifty-two million, three hundred sixty-five thousand, five hundred twenty".