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152135990597561 is a prime number
BaseRepresentation
bin100010100101110111101011…
…101011010101011110111001
3201221200001120202121202222012
4202211313223223111132321
5124420044002043110221
61255322150443335305
744021314446234005
oct4245675353253671
9657601522552865
10152135990597561
1144525569573853
1215090b83521535
1366b749312ac99
14297d5c7c17705
15128c61614c65b
hex8a5debad57b9

152135990597561 has 2 divisors, whose sum is σ = 152135990597562. Its totient is φ = 152135990597560.

The previous prime is 152135990597471. The next prime is 152135990597609. The reversal of 152135990597561 is 165795099531251.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95739179929600 + 56396810667961 = 9784640^2 + 7509781^2 .

It is a cyclic number.

It is not a de Polignac number, because 152135990597561 - 210 = 152135990596537 is a prime.

It is a super-4 number, since 4×1521359905975614 (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152135990597491 and 152135990597500.

It is not a weakly prime, because it can be changed into another prime (152135990587561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76067995298780 + 76067995298781.

It is an arithmetic number, because the mean of its divisors is an integer number (76067995298781).

Almost surely, 2152135990597561 is an apocalyptic number.

It is an amenable number.

152135990597561 is a deficient number, since it is larger than the sum of its proper divisors (1).

152135990597561 is an equidigital number, since it uses as much as digits as its factorization.

152135990597561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 114817500, while the sum is 68.

The spelling of 152135990597561 in words is "one hundred fifty-two trillion, one hundred thirty-five billion, nine hundred ninety million, five hundred ninety-seven thousand, five hundred sixty-one".