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23825316401 is a prime number
BaseRepresentation
bin10110001100000110…
…010111101000110001
32021111102112110211222
4112030012113220301
5342243240111101
614540055114425
71502261563565
oct261406275061
967442473758
1023825316401
11a116851937
12474b072a15
132329067273
1412203676a5
159469d801b
hex58c197a31

23825316401 has 2 divisors, whose sum is σ = 23825316402. Its totient is φ = 23825316400.

The previous prime is 23825316397. The next prime is 23825316413. The reversal of 23825316401 is 10461352832.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19693912225 + 4131404176 = 140335^2 + 64276^2 .

It is a cyclic number.

It is not a de Polignac number, because 23825316401 - 22 = 23825316397 is a prime.

It is a super-3 number, since 3×238253164013 (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (23825316421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11912658200 + 11912658201.

It is an arithmetic number, because the mean of its divisors is an integer number (11912658201).

Almost surely, 223825316401 is an apocalyptic number.

It is an amenable number.

23825316401 is a deficient number, since it is larger than the sum of its proper divisors (1).

23825316401 is an equidigital number, since it uses as much as digits as its factorization.

23825316401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 23825316401 in words is "twenty-three billion, eight hundred twenty-five million, three hundred sixteen thousand, four hundred one".