9513661950 has 384 divisors, whose sum is σ = 30114739200. Its totient is φ = 2189099520.

The previous prime is 9513661943. The next prime is 9513661967. The reversal of 9513661950 is 591663159.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 9513661896 and 9513661905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34345212 + ... + 34345488.

It is an arithmetic number, because the mean of its divisors is an integer number (78423800).

Almost surely, 2^9513661950 is an apocalyptic number.

9513661950 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9513661950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15057369600).

9513661950 is an abundant number, since it is smaller than the sum of its proper divisors (20601077250).

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

9513661950 is a wasteful number, since it uses less digits than its factorization.

9513661950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 9513661950 is about 97538.0025938608. The cubic root of 9513661950 is about 2118.9265621520.

The spelling of 9513661950 in words is "nine billion, five hundred thirteen million, six hundred sixty-one thousand, nine hundred fifty".