7813513555350 has 192 divisors, whose sum is σ = 20083177594368. Its totient is φ = 2008992640000.

The previous prime is 7813513555321. The next prime is 7813513555357. The reversal of 7813513555350 is 535553153187.

It is a super-2 number, since 2×7813513555350² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7813513555293 and 7813513555302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7813513555357) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 349696279 + ... + 349718621.

It is an arithmetic number, because the mean of its divisors is an integer number (104599883304).

Almost surely, 2^{7813513555350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7813513555350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10041588797184).

7813513555350 is an abundant number, since it is smaller than the sum of its proper divisors (12269664039018).

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

7813513555350 is a wasteful number, since it uses less digits than its factorization.

7813513555350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23063 (or 23058 counting only the distinct ones).

The product of its (nonzero) digits is 4725000, while the sum is 51.

The spelling of 7813513555350 in words is "seven trillion, eight hundred thirteen billion, five hundred thirteen million, five hundred fifty-five thousand, three hundred fifty".