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252153202381 is a prime number
BaseRepresentation
bin1110101011010110000…
…0001000011011001101
3220002211222201212111121
43222311200020123031
513112402204434011
6311500530120541
724134406566503
oct3526540103315
9802758655447
10252153202381
1197a34a00053
1240a51720151
131aa161b6942
14c2c078a673
15685bd8ee71
hex3ab58086cd

252153202381 has 2 divisors, whose sum is σ = 252153202382. Its totient is φ = 252153202380.

The previous prime is 252153202309. The next prime is 252153202403. The reversal of 252153202381 is 183202351252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165723082281 + 86430120100 = 407091^2 + 293990^2 .

It is a cyclic number.

It is not a de Polignac number, because 252153202381 - 221 = 252151105229 is a prime.

It is a super-2 number, since 2×2521532023812 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252153202681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126076601190 + 126076601191.

It is an arithmetic number, because the mean of its divisors is an integer number (126076601191).

Almost surely, 2252153202381 is an apocalyptic number.

It is an amenable number.

252153202381 is a deficient number, since it is larger than the sum of its proper divisors (1).

252153202381 is an equidigital number, since it uses as much as digits as its factorization.

252153202381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 252153202381 in words is "two hundred fifty-two billion, one hundred fifty-three million, two hundred two thousand, three hundred eighty-one".