1353123020520 has 192 divisors, whose sum is σ = 4653345715200. Its totient is φ = 340051530240.

The previous prime is 1353123020489. The next prime is 1353123020527. The reversal of 1353123020520 is 250203213531.

It is a happy number.

1353123020520 is a `hidden beast` number, since 1 + 353 + 1 + 2 + 302 + 0 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×1353123020520² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1353123020527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 788574 + ... + 1824306.

It is an arithmetic number, because the mean of its divisors is an integer number (24236175600).

Almost surely, 2^{1353123020520} is an apocalyptic number.

1353123020520 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 1353123020520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326672857600).

1353123020520 is an abundant number, since it is smaller than the sum of its proper divisors (3300222694680).

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

1353123020520 is a wasteful number, since it uses less digits than its factorization.

1353123020520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035960 (or 1035953 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 1353123020520 in words is "one trillion, three hundred fifty-three billion, one hundred twenty-three million, twenty thousand, five hundred twenty".