52263146100 has 288 divisors, whose sum is σ = 181198402560. Its totient is φ = 11480832000.

The previous prime is 52263146093. The next prime is 52263146113. The reversal of 52263146100 is 164136225.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1423980 + ... + 1460220.

It is an arithmetic number, because the mean of its divisors is an integer number (629161120).

Almost surely, 2^52263146100 is an apocalyptic number.

52263146100 is a gapful number since it is divisible by the number (50) 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 52263146100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90599201280).

52263146100 is an abundant number, since it is smaller than the sum of its proper divisors (128935256460).

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

52263146100 is a wasteful number, since it uses less digits than its factorization.

52263146100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36311 (or 36304 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 52263146100 in words is "fifty-two billion, two hundred sixty-three million, one hundred forty-six thousand, one hundred".