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652252252257 = 32532101325469
BaseRepresentation
bin10010111110111010100…
…00111000100001100001
32022100120120200111101100
421133131100320201201
541141303034033012
61215350205225013
765060263444614
oct11373520704141
92270516614340
10652252252257
11231689435051
12a64b1b62169
13496791c5178
14237d7b7417b
1511e773018dc
hex97dd438861

652252252257 has 36 divisors (see below), whose sum is σ = 961239481020. Its totient is φ = 426192514176.

The previous prime is 652252252243. The next prime is 652252252297. The reversal of 652252252257 is 752252252256.

652252252257 is a `hidden beast` number, since 6 + 5 + 22 + 52 + 2 + 522 + 57 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 73256481 + 652178995776 = 8559^2 + 807576^2 .

It is not a de Polignac number, because 652252252257 - 26 = 652252252193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (652252252237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25596919 + ... + 25622387.

It is an arithmetic number, because the mean of its divisors is an integer number (26701096695).

Almost surely, 2652252252257 is an apocalyptic number.

It is an amenable number.

652252252257 is a deficient number, since it is larger than the sum of its proper divisors (308987228763).

652252252257 is a wasteful number, since it uses less digits than its factorization.

652252252257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26594 (or 26538 counting only the distinct ones).

The product of its digits is 1680000, while the sum is 45.

Subtracting 652252252257 from its reverse (752252252256), we obtain a palindrome (99999999999).

The spelling of 652252252257 in words is "six hundred fifty-two billion, two hundred fifty-two million, two hundred fifty-two thousand, two hundred fifty-seven".

Divisors: 1 3 9 53 159 477 1013 2809 3039 8427 9117 25281 25469 53689 76407 161067 229221 483201 1349857 2845517 4049571 8536551 12148713 25609653 25800097 71542421 77400291 214627263 232200873 643881789 1367405141 4102215423 12306646269 72472472473 217417417419 652252252257