8013785052 has 192 divisors, whose sum is σ = 23916791808. Its totient is φ = 2032128000.

The previous prime is 8013785047. The next prime is 8013785083. The reversal of 8013785052 is 2505873108.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 8013785052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3177552 + ... + 3180072.

It is an arithmetic number, because the mean of its divisors is an integer number (124566624).

Almost surely, 2^8013785052 is an apocalyptic number.

8013785052 is a gapful number since it is divisible by the number (82) 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 8013785052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11958395904).

8013785052 is an abundant number, since it is smaller than the sum of its proper divisors (15903006756).

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

8013785052 is a wasteful number, since it uses less digits than its factorization.

8013785052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 8013785052 is about 89519.7467154594. The cubic root of 8013785052 is about 2001.1480951460.

The spelling of 8013785052 in words is "eight billion, thirteen million, seven hundred eighty-five thousand, fifty-two".