1010525040252 has 216 divisors, whose sum is σ = 3163100129280. Its totient is φ = 266345988480.

The previous prime is 1010525040251. The next prime is 1010525040311. The reversal of 1010525040252 is 2520405250101.

1010525040252 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 5 + 250 + 402 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010525040251) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77972149 + ... + 77985107.

It is an arithmetic number, because the mean of its divisors is an integer number (14643982080).

Almost surely, 2^{1010525040252} is an apocalyptic number.

1010525040252 is a gapful number since it is divisible by the number (12) 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 1010525040252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581550064640).

1010525040252 is an abundant number, since it is smaller than the sum of its proper divisors (2152575089028).

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

1010525040252 is a wasteful number, since it uses less digits than its factorization.

1010525040252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14833 (or 14815 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 1010525040252 in words is "one trillion, ten billion, five hundred twenty-five million, forty thousand, two hundred fifty-two".