51542620900 has 81 divisors (see below), whose sum is σ = 113766437883. Its totient is φ = 20269238400.

The previous prime is 51542620889. The next prime is 51542620907. The reversal of 51542620900 is 902624515.

It is a happy number.

The square root of 51542620900 is 227030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 282038436 + 51260582464 = 16794^2 + 226408^2 .

It is a super-2 number, since 2×51542620900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51542620907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 165731745 + ... + 165732055.

Almost surely, 2^51542620900 is an apocalyptic number.

51542620900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51542620900 is the 227030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51542620900

51542620900 is an abundant number, since it is smaller than the sum of its proper divisors (62223816983).

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

51542620900 is an equidigital number, since it uses as much as digits as its factorization.

51542620900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 51542620900 in words is "fifty-one billion, five hundred forty-two million, six hundred twenty thousand, nine hundred".