1353536612100 has 108 divisors (see below), whose sum is σ = 4346063123220. Its totient is φ = 352139596800.

The previous prime is 1353536612093. The next prime is 1353536612107. The reversal of 1353536612100 is 12166353531.

1353536612100 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 5 + 36 + 612 + 1 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1353536612093) and next prime (1353536612107).

It can be written as a sum of positive squares in 6 ways, for example, as 392399510724 + 961137101376 = 626418^2 + 980376^2 .

It is a super-2 number, since 2×1353536612100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1353536612107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18303705 + ... + 18377504.

It is an arithmetic number, because the mean of its divisors is an integer number (40241325215).

Almost surely, 2^{1353536612100} is an apocalyptic number.

1353536612100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353536612100 is an abundant number, since it is smaller than the sum of its proper divisors (2992526511120).

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

1353536612100 is a wasteful number, since it uses less digits than its factorization.

1353536612100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36681270 (or 36681260 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 1353536612100 in words is "one trillion, three hundred fifty-three billion, five hundred thirty-six million, six hundred twelve thousand, one hundred".