542513355325110 has 576 divisors, whose sum is σ = 1608277138453440. Its totient is φ = 126694352977920.

The previous prime is 542513355324947. The next prime is 542513355325111. The reversal of 542513355325110 is 11523553315245.

542513355325110 is a `hidden beast` number, since 5 + 4 + 2 + 5 + 1 + 33 + 553 + 2 + 51 + 10 = 666.

It is a super-2 number, since 2×542513355325110² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542513355325111) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3734727661 + ... + 3734872919.

It is an arithmetic number, because the mean of its divisors is an integer number (2792147809815).

Almost surely, 2^{542513355325110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542513355325110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804138569226720).

542513355325110 is an abundant number, since it is smaller than the sum of its proper divisors (1065763783128330).

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

542513355325110 is a wasteful number, since it uses less digits than its factorization.

542513355325110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145505 (or 145489 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 542513355325110 in words is "five hundred forty-two trillion, five hundred thirteen billion, three hundred fifty-five million, three hundred twenty-five thousand, one hundred ten".