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52023032025 = 35210120633329
BaseRepresentation
bin110000011100110100…
…000111100011011001
311222021120111211211220
4300130310013203121
51323020344011100
635522110042253
73521115322206
oct603464074331
9158246454756
1052023032025
1120076710a48
12a0ba4a9389
134ba0c1c5b3
1427372a2cad
1515472a6aa0
hexc1cd078d9

52023032025 has 48 divisors (see below), whose sum is σ = 86931221760. Its totient is φ = 27449344000.

The previous prime is 52023031981. The next prime is 52023032029.

52023032025 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52023032025 - 28 = 52023031769 is a prime.

It is a super-2 number, since 2×520230320252 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52023031986 and 52023032004.

It is not an unprimeable number, because it can be changed into a prime (52023032029) 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 47 ways as a sum of consecutive naturals, for example, 15625561 + ... + 15628889.

It is an arithmetic number, because the mean of its divisors is an integer number (1811067120).

Almost surely, 252023032025 is an apocalyptic number.

It is an amenable number.

52023032025 is a deficient number, since it is larger than the sum of its proper divisors (34908189735).

52023032025 is a wasteful number, since it uses less digits than its factorization.

52023032025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 5501 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

It can be divided in two parts, 520230 and 32025, that added together give a palindrome (552255).

The spelling of 52023032025 in words is "fifty-two billion, twenty-three million, thirty-two thousand, twenty-five".

Divisors: 1 3 5 15 25 75 101 303 505 1515 2063 2525 3329 6189 7575 9987 10315 16645 30945 49935 51575 83225 154725 208363 249675 336229 625089 1008687 1041815 1681145 3125445 5043435 5209075 6867727 8405725 15627225 20603181 25217175 34338635 103015905 171693175 515079525 693640427 2080921281 3468202135 10404606405 17341010675 52023032025