1053000152820 has 1536 divisors, whose sum is σ = 4548250828800. Its totient is φ = 195432652800.

The previous prime is 1053000152819. The next prime is 1053000152833. The reversal of 1053000152820 is 282510003501.

It is a happy number.

1053000152820 is a `hidden beast` number, since 1 + 0 + 530 + 0 + 0 + 1 + 52 + 82 + 0 = 666.

It is a super-2 number, since 2×1053000152820² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3885609285 + ... + 3885609555.

It is an arithmetic number, because the mean of its divisors is an integer number (2961100800).

Almost surely, 2^{1053000152820} is an apocalyptic number.

1053000152820 is a gapful number since it is divisible by the number (10) 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 1053000152820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274125414400).

1053000152820 is an abundant number, since it is smaller than the sum of its proper divisors (3495250675980).

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

1053000152820 is a wasteful number, since it uses less digits than its factorization.

1053000152820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 1053000152820 in words is "one trillion, fifty-three billion, one hundred fifty-two thousand, eight hundred twenty".