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2958653953 is a prime number
BaseRepresentation
bin1011000001011001…
…0111101000000001
321122012020012020001
42300112113220001
522024403411303
61205330120001
7133214100163
oct26026275001
97565205201
102958653953
1112890a0562
126a6a20001
13381c69118
14200d22933
15124b2831d
hexb0597a01

2958653953 has 2 divisors, whose sum is σ = 2958653954. Its totient is φ = 2958653952.

The previous prime is 2958653923. The next prime is 2958653969. The reversal of 2958653953 is 3593568592.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1927473409 + 1031180544 = 43903^2 + 32112^2 .

It is a cyclic number.

It is not a de Polignac number, because 2958653953 - 213 = 2958645761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2958653894 and 2958653903.

It is not a weakly prime, because it can be changed into another prime (2958653923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1479326976 + 1479326977.

It is an arithmetic number, because the mean of its divisors is an integer number (1479326977).

Almost surely, 22958653953 is an apocalyptic number.

It is an amenable number.

2958653953 is a deficient number, since it is larger than the sum of its proper divisors (1).

2958653953 is an equidigital number, since it uses as much as digits as its factorization.

2958653953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8748000, while the sum is 55.

The square root of 2958653953 is about 54393.5102103183. The cubic root of 2958653953 is about 1435.5931945188.

The spelling of 2958653953 in words is "two billion, nine hundred fifty-eight million, six hundred fifty-three thousand, nine hundred fifty-three".