51542334404100 has 90 divisors (see below), whose sum is σ = 167079885760634. Its totient is φ = 13744622505600.

The previous prime is 51542334404069. The next prime is 51542334404131. The reversal of 51542334404100 is 140443324515.

51542334404100 is a `hidden beast` number, since 5 + 1 + 5 + 4 + 233 + 4 + 4 + 0 + 410 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51542334404069) and next prime (51542334404131).

It can be written as a sum of positive squares in 3 ways, for example, as 840643261956 + 50701691142144 = 916866^2 + 7120512^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×51542334404100² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3181617481 + ... + 3181633680.

Almost surely, 2^{51542334404100} is an apocalyptic number.

51542334404100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51542334404100 is an abundant number, since it is smaller than the sum of its proper divisors (115537551356534).

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

51542334404100 is a wasteful number, since it uses less digits than its factorization.

51542334404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6363251187 (or 6363251171 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 51542334404100 its reverse (140443324515), we get a palindrome (51682777728615).

The spelling of 51542334404100 in words is "fifty-one trillion, five hundred forty-two billion, three hundred thirty-four million, four hundred four thousand, one hundred".