1001993525820 has 144 divisors (see below), whose sum is σ = 3488747021760. Its totient is φ = 228026907648.

The previous prime is 1001993525809. The next prime is 1001993525833. The reversal of 1001993525820 is 285253991001.

1001993525820 is a `hidden beast` number, since 1 + 0 + 0 + 19 + 9 + 3 + 52 + 582 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1447777 + ... + 2024856.

Almost surely, 2^{1001993525820} is an apocalyptic number.

1001993525820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001993525820 is an abundant number, since it is smaller than the sum of its proper divisors (2486753495940).

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

1001993525820 is a wasteful number, since it uses less digits than its factorization.

1001993525820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472884 (or 3472879 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 1001993525820 in words is "one trillion, one billion, nine hundred ninety-three million, five hundred twenty-five thousand, eight hundred twenty".