53513103155512 has 768 divisors, whose sum is σ = 144528499584000. Its totient is φ = 18023853957120.

The previous prime is 53513103155461. The next prime is 53513103155557. The reversal of 53513103155512 is 21555130131535.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96073793538 + ... + 96073794094.

It is an arithmetic number, because the mean of its divisors is an integer number (188188150500).

Almost surely, 2^{53513103155512} is an apocalyptic number.

53513103155512 is a gapful number since it is divisible by the number (52) 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 53513103155512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72264249792000).

53513103155512 is an abundant number, since it is smaller than the sum of its proper divisors (91015396428488).

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

53513103155512 is a wasteful number, since it uses less digits than its factorization.

53513103155512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 168750, while the sum is 40.

The spelling of 53513103155512 in words is "fifty-three trillion, five hundred thirteen billion, one hundred three million, one hundred fifty-five thousand, five hundred twelve".