1020353523024 has 160 divisors (see below), whose sum is σ = 3069857266560. Its totient is φ = 291009607680.

The previous prime is 1020353523023. The next prime is 1020353523037. The reversal of 1020353523024 is 4203253530201.

It is a super-2 number, since 2×1020353523024² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020353522982 and 1020353523000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020353523023) 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, 616362 + ... + 1555830.

It is an arithmetic number, because the mean of its divisors is an integer number (19186607916).

Almost surely, 2^{1020353523024} 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 1020353523024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534928633280).

1020353523024 is an abundant number, since it is smaller than the sum of its proper divisors (2049503743536).

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

1020353523024 is a wasteful number, since it uses less digits than its factorization.

1020353523024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939530 (or 939502 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 1020353523024 in words is "one trillion, twenty billion, three hundred fifty-three million, five hundred twenty-three thousand, twenty-four".