1053242547624 has 144 divisors (see below), whose sum is σ = 3011515135200. Its totient is φ = 332498167488.

The previous prime is 1053242547611. The next prime is 1053242547661. The reversal of 1053242547624 is 4267452423501.

1053242547624 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 2 + 42 + 547 + 62 + 4 = 666.

It is a super-2 number, since 2×1053242547624² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053242547624.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154363077 + ... + 154369899.

It is an arithmetic number, because the mean of its divisors is an integer number (20913299550).

Almost surely, 2^{1053242547624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053242547624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505757567600).

1053242547624 is an abundant number, since it is smaller than the sum of its proper divisors (1958272587576).

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

1053242547624 is a wasteful number, since it uses less digits than its factorization.

1053242547624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12812 (or 12786 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 1053242547624 in words is "one trillion, fifty-three billion, two hundred forty-two million, five hundred forty-seven thousand, six hundred twenty-four".