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253540204081 is a prime number
BaseRepresentation
bin1110110000100000101…
…1000111111000110001
3220020102122121212010221
43230020023013320301
513123222243012311
6312250314253041
724213651114313
oct3541013077061
9806378555127
10253540204081
1198586920a4a
124117a127181
131aba7663bc8
14c3b2a777b3
1568dda18671
hex3b082c7e31

253540204081 has 2 divisors, whose sum is σ = 253540204082. Its totient is φ = 253540204080.

The previous prime is 253540203971. The next prime is 253540204109. The reversal of 253540204081 is 180402045352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239571091600 + 13969112481 = 489460^2 + 118191^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253540204081 is a prime.

It is a super-2 number, since 2×2535402040812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (253540208081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126770102040 + 126770102041.

It is an arithmetic number, because the mean of its divisors is an integer number (126770102041).

Almost surely, 2253540204081 is an apocalyptic number.

It is an amenable number.

253540204081 is a deficient number, since it is larger than the sum of its proper divisors (1).

253540204081 is an equidigital number, since it uses as much as digits as its factorization.

253540204081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 253540204081 in words is "two hundred fifty-three billion, five hundred forty million, two hundred four thousand, eighty-one".