613265404562316 has 192 divisors, whose sum is σ = 1774954494297600. Its totient is φ = 181502937907200.

The previous prime is 613265404562207. The next prime is 613265404562383.

613265404562316 is a `hidden beast` number, since 6 + 1 + 3 + 2 + 6 + 5 + 4 + 0 + 4 + 5 + 623 + 1 + 6 = 666.

613265404562316 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×613265404562316² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 710709180 + ... + 711571548.

It is an arithmetic number, because the mean of its divisors is an integer number (9244554657800).

Almost surely, 2^{613265404562316} is an apocalyptic number.

613265404562316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613265404562316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887477247148800).

613265404562316 is an abundant number, since it is smaller than the sum of its proper divisors (1161689089735284).

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

613265404562316 is a wasteful number, since it uses less digits than its factorization.

613265404562316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876357 (or 876349 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

It can be divided in two parts, 61326540 and 4562316, that added together give a palindrome (65888856).

The spelling of 613265404562316 in words is "six hundred thirteen trillion, two hundred sixty-five billion, four hundred four million, five hundred sixty-two thousand, three hundred sixteen".