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253517137441 is a prime number
BaseRepresentation
bin1110110000011011001…
…1001000011000100001
3220020101001012221122221
43230012303020120201
513123200341344231
6312244132031041
724213251053531
oct3540663103041
9806331187587
10253517137441
11985748a6707
1241172462481
131aba29489c9
14c3ad9914c1
1568db9add11
hex3b06cc8621

253517137441 has 2 divisors, whose sum is σ = 253517137442. Its totient is φ = 253517137440.

The previous prime is 253517137429. The next prime is 253517137463. The reversal of 253517137441 is 144731715352.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 152409036816 + 101108100625 = 390396^2 + 317975^2 .

It is a cyclic number.

It is not a de Polignac number, because 253517137441 - 213 = 253517129249 is a prime.

It is not a weakly prime, because it can be changed into another prime (253517137421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126758568720 + 126758568721.

It is an arithmetic number, because the mean of its divisors is an integer number (126758568721).

Almost surely, 2253517137441 is an apocalyptic number.

It is an amenable number.

253517137441 is a deficient number, since it is larger than the sum of its proper divisors (1).

253517137441 is an equidigital number, since it uses as much as digits as its factorization.

253517137441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 352800, while the sum is 43.

The spelling of 253517137441 in words is "two hundred fifty-three billion, five hundred seventeen million, one hundred thirty-seven thousand, four hundred forty-one".