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252951136961 is a prime number
BaseRepresentation
bin1110101110010100010…
…0000000101011000001
3220011220121012010222012
43223211010000223001
513121020442340321
6312112032422305
724163236121415
oct3534504005301
9804817163865
10252951136961
1198304360116
12410349a7995
131ab125c5693
14c358738d45
1568a6e5a05b
hex3ae5100ac1

252951136961 has 2 divisors, whose sum is σ = 252951136962. Its totient is φ = 252951136960.

The previous prime is 252951136951. The next prime is 252951136987. The reversal of 252951136961 is 169631159252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 252425856400 + 525280561 = 502420^2 + 22919^2 .

It is a cyclic number.

It is not a de Polignac number, because 252951136961 - 226 = 252884028097 is a prime.

It is not a weakly prime, because it can be changed into another prime (252951136951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126475568480 + 126475568481.

It is an arithmetic number, because the mean of its divisors is an integer number (126475568481).

Almost surely, 2252951136961 is an apocalyptic number.

It is an amenable number.

252951136961 is a deficient number, since it is larger than the sum of its proper divisors (1).

252951136961 is an equidigital number, since it uses as much as digits as its factorization.

252951136961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 874800, while the sum is 50.

The spelling of 252951136961 in words is "two hundred fifty-two billion, nine hundred fifty-one million, one hundred thirty-six thousand, nine hundred sixty-one".