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253407505541 is a prime number
BaseRepresentation
bin1110110000000001000…
…0111010110010000101
3220020002101221001222012
43230000100322302011
513122434310134131
6312225214144005
724210450154151
oct3540020726205
9806071831865
10253407505541
1198518a26633
12411417b2005
131ab86012068
14c39d1b4061
1568d205552b
hex3b0043ac85

253407505541 has 2 divisors, whose sum is σ = 253407505542. Its totient is φ = 253407505540.

The previous prime is 253407505511. The next prime is 253407505573. The reversal of 253407505541 is 145505704352.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176925390625 + 76482114916 = 420625^2 + 276554^2 .

It is a cyclic number.

It is not a de Polignac number, because 253407505541 - 210 = 253407504517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253407505511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126703752770 + 126703752771.

It is an arithmetic number, because the mean of its divisors is an integer number (126703752771).

Almost surely, 2253407505541 is an apocalyptic number.

It is an amenable number.

253407505541 is a deficient number, since it is larger than the sum of its proper divisors (1).

253407505541 is an equidigital number, since it uses as much as digits as its factorization.

253407505541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420000, while the sum is 41.

The spelling of 253407505541 in words is "two hundred fifty-three billion, four hundred seven million, five hundred five thousand, five hundred forty-one".