613121351040 has 768 divisors, whose sum is σ = 2352277324800. Its totient is φ = 145916559360.

The previous prime is 613121351033. The next prime is 613121351057. The reversal of 613121351040 is 40153121316.

It is a happy number.

613121351040 is a `hidden beast` number, since 6 + 131 + 2 + 13 + 510 + 4 + 0 = 666.

It is a super-2 number, since 2×613121351040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 613121350995 and 613121351013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1736887504 + ... + 1736887856.

It is an arithmetic number, because the mean of its divisors is an integer number (3062861100).

Almost surely, 2^613121351040 is an apocalyptic number.

613121351040 is a gapful number since it is divisible by the number (60) 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 613121351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176138662400).

613121351040 is an abundant number, since it is smaller than the sum of its proper divisors (1739155973760).

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

613121351040 is a wasteful number, since it uses less digits than its factorization.

613121351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 613121351040 its reverse (40153121316), we get a palindrome (653274472356).

The spelling of 613121351040 in words is "six hundred thirteen billion, one hundred twenty-one million, three hundred fifty-one thousand, forty".