247080359064100 has 81 divisors (see below), whose sum is σ = 540463054916883. Its totient is φ = 98046015500160.

The previous prime is 247080359064061. The next prime is 247080359064107. The reversal of 247080359064100 is 1460953080742.

It is a happy number.

The square root of 247080359064100 is 15718790.

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 74742906578404 + 172337452485696 = 8645398^2 + 13127736^2 .

It is a super-2 number, since 2×247080359064100² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (247080359064107) 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, 19962857112 + ... + 19962869488.

It is a 1-persistent number, because it is pandigital, but 2⋅247080359064100 = 494160718128200 is not.

Almost surely, 2^{247080359064100} is an apocalyptic number.

247080359064100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

247080359064100 is the 15718790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247080359064100

247080359064100 is an abundant number, since it is smaller than the sum of its proper divisors (293382695852783).

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

247080359064100 is an frugal number, since it uses more digits than its factorization.

247080359064100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25022 (or 12511 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 247080359064100 in words is "two hundred forty-seven trillion, eighty billion, three hundred fifty-nine million, sixty-four thousand, one hundred".