62545008100 has 81 divisors (see below), whose sum is σ = 137755001041. Its totient is φ = 24648870400.

The previous prime is 62545008079. The next prime is 62545008107. The reversal of 62545008100 is 180054526.

The square root of 62545008100 is 250090.

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

It can be written as a sum of positive squares in 13 ways, for example, as 48622896036 + 13922112064 = 220506^2 + 117992^2 .

It is a super-5 number, since 5×62545008100⁵ (a number of 55 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (62545008107) 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, 222579960 + ... + 222580240.

Almost surely, 2^62545008100 is an apocalyptic number.

62545008100 is the 250090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62545008100

62545008100 is an abundant number, since it is smaller than the sum of its proper divisors (75209992941).

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

62545008100 is an equidigital number, since it uses as much as digits as its factorization.

62545008100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 62545008100 in words is "sixty-two billion, five hundred forty-five million, eight thousand, one hundred".