53213293350 has 1152 divisors, whose sum is σ = 196101734400. Its totient is φ = 10059033600.

The previous prime is 53213293349. The next prime is 53213293351. The reversal of 53213293350 is 5339231235.

It is a happy number.

53213293350 is a `hidden beast` number, since 5 + 3 + 2 + 13 + 293 + 350 = 666.

It is an interprime number because it is at equal distance from previous prime (53213293349) and next prime (53213293351).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53213293351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1237518429 + ... + 1237518471.

It is an arithmetic number, because the mean of its divisors is an integer number (170227200).

Almost surely, 2^53213293350 is an apocalyptic number.

53213293350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53213293350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98050867200).

53213293350 is an abundant number, since it is smaller than the sum of its proper divisors (142888441050).

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

53213293350 is a wasteful number, since it uses less digits than its factorization.

53213293350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The spelling of 53213293350 in words is "fifty-three billion, two hundred thirteen million, two hundred ninety-three thousand, three hundred fifty".