1005252145500 has 96 divisors (see below), whose sum is σ = 2949640581888. Its totient is φ = 266020872000.

The previous prime is 1005252145361. The next prime is 1005252145501. The reversal of 1005252145500 is 55412525001.

1005252145500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005252145501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2361394 + ... + 2754393.

It is an arithmetic number, because the mean of its divisors is an integer number (30725422728).

Almost surely, 2^{1005252145500} is an apocalyptic number.

1005252145500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005252145500 is an abundant number, since it is smaller than the sum of its proper divisors (1944388436388).

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

1005252145500 is a wasteful number, since it uses less digits than its factorization.

1005252145500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115940 (or 5115928 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 1005252145500 in words is "one trillion, five billion, two hundred fifty-two million, one hundred forty-five thousand, five hundred".