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252520993 is a prime number
BaseRepresentation
bin11110000110100…
…10101000100001
3122121011101200101
433003102220201
51004121132433
641020222401
76154251544
oct1703225041
9577141611
10252520993
1111a5a583a
127069aa01
134041600a
142577485b
151728107d
hexf0d2a21

252520993 has 2 divisors, whose sum is σ = 252520994. Its totient is φ = 252520992.

The previous prime is 252520949. The next prime is 252520997. The reversal of 252520993 is 399025252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 251159104 + 1361889 = 15848^2 + 1167^2 .

It is a cyclic number.

It is not a de Polignac number, because 252520993 - 29 = 252520481 is a prime.

It is not a weakly prime, because it can be changed into another prime (252520997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126260496 + 126260497.

It is an arithmetic number, because the mean of its divisors is an integer number (126260497).

Almost surely, 2252520993 is an apocalyptic number.

It is an amenable number.

252520993 is a deficient number, since it is larger than the sum of its proper divisors (1).

252520993 is an equidigital number, since it uses as much as digits as its factorization.

252520993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48600, while the sum is 37.

The square root of 252520993 is about 15890.9091306948. The cubic root of 252520993 is about 632.0709483788.

The spelling of 252520993 in words is "two hundred fifty-two million, five hundred twenty thousand, nine hundred ninety-three".