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5252518656 = 283371171139
BaseRepresentation
bin1001110010001001…
…10001001100000000
3111120001112121001000
410321010301030000
541224121044111
62225111412000
7244106446320
oct47104611400
914501477030
105252518656
112255a01010
121027084000
13659273808
1437b835280
1520b1d6c56
hex139131300

5252518656 has 576 divisors, whose sum is σ = 19779379200. Its totient is φ = 1335398400.

The previous prime is 5252518639. The next prime is 5252518673. The reversal of 5252518656 is 6568152525.

5252518656 is a `hidden beast` number, since 52 + 525 + 18 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5252518639) and next prime (5252518673).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×52525186563 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37787835 + ... + 37787973.

It is an arithmetic number, because the mean of its divisors is an integer number (34339200).

Almost surely, 25252518656 is an apocalyptic number.

5252518656 is a gapful number since it is divisible by the number (56) 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 5252518656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9889689600).

5252518656 is an abundant number, since it is smaller than the sum of its proper divisors (14526860544).

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

5252518656 is a wasteful number, since it uses less digits than its factorization.

5252518656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 233 counting only the distinct ones).

The product of its digits is 720000, while the sum is 45.

The square root of 5252518656 is about 72474.2620245284. The cubic root of 5252518656 is about 1738.2912118305.

The spelling of 5252518656 in words is "five billion, two hundred fifty-two million, five hundred eighteen thousand, six hundred fifty-six".