613386576100 has 135 divisors (see below), whose sum is σ = 1419476277261. Its totient is φ = 230069894400.

The previous prime is 613386576097. The next prime is 613386576113. The reversal of 613386576100 is 1675683316.

The square root of 613386576100 is 783190.

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

It can be written as a sum of positive squares in 7 ways, for example, as 66839829156 + 546546746944 = 258534^2 + 739288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2263418965 + ... + 2263419235.

Almost surely, 2^613386576100 is an apocalyptic number.

613386576100 is the 783190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613386576100

613386576100 is an abundant number, since it is smaller than the sum of its proper divisors (806089701161).

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

613386576100 is an frugal number, since it uses more digits than its factorization.

613386576100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 613386576100 in words is "six hundred thirteen billion, three hundred eighty-six million, five hundred seventy-six thousand, one hundred".