542206612512 has 144 divisors (see below), whose sum is σ = 1635316458048. Its totient is φ = 170043287040.

The previous prime is 542206612511. The next prime is 542206612513. The reversal of 542206612512 is 215216602245.

542206612512 is a `hidden beast` number, since 5 + 4 + 2 + 20 + 6 + 612 + 5 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (542206612511) and next prime (542206612513).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×542206612512² (a number of 24 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 (542206612511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266878 + ... + 1075005.

It is an arithmetic number, because the mean of its divisors is an integer number (11356364292).

Almost surely, 2^542206612512 is an apocalyptic number.

It is an amenable number.

542206612512 is an abundant number, since it is smaller than the sum of its proper divisors (1093109845536).

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

542206612512 is a wasteful number, since it uses less digits than its factorization.

542206612512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341983 (or 1341972 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 542206612512 in words is "five hundred forty-two billion, two hundred six million, six hundred twelve thousand, five hundred twelve".