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531252313020000 = 2532541113173893121
BaseRepresentation
bin111100011001010111101000…
…1011001110101011001100000
32120200000020002010011021110100
41320302233101121311121200
51024113014214113120000
65121513535435102400
7216620466363522345
oct17062572131653140
92520006063137410
10531252313020000
11144300927a87140
124b7003108a1a00
1319a57b55410b30
149528a6b91c7cc
154164159d4ba00
hex1e32bd1675660

531252313020000 has 2880 divisors, whose sum is σ = 2355126440546880. Its totient is φ = 111565209600000.

The previous prime is 531252313019999. The next prime is 531252313020001. The reversal of 531252313020000 is 20313252135.

It is a happy number.

531252313020000 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 523 + 130 + 2 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (531252313019999) and next prime (531252313020001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531252313020001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 170218618440 + ... + 170218621560.

It is an arithmetic number, because the mean of its divisors is an integer number (817752236301).

Almost surely, 2531252313020000 is an apocalyptic number.

531252313020000 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 531252313020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177563220273440).

531252313020000 is an abundant number, since it is smaller than the sum of its proper divisors (1823874127526880).

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

531252313020000 is a wasteful number, since it uses less digits than its factorization.

531252313020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 531252313020000 its reverse (20313252135), we get a palindrome (531272626272135).

The spelling of 531252313020000 in words is "five hundred thirty-one trillion, two hundred fifty-two billion, three hundred thirteen million, twenty thousand".